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If – 9 is a root of the equation $open vertical bar table row x 3 7 row 2 x 2 row 7 6 x end table close vertical bar equals 0$ then the other two roots are

2, 7
– 2, 7
2, –7
– 2, –7

The correct answer is: 2, 7

$open vertical bar table row x 3 7 row 2 x 2 row 7 6 x end table close vertical bar equals 0 rightwards double arrow$ $left parenthesis x plus 9 right parenthesis open vertical bar table row 1 1 1 row 2 x 2 row 7 6 x end table close vertical bar equals 0$ ,
by $R subscript 1 end subscript rightwards arrow R subscript 1 end subscript plus R subscript 2 end subscript plus R subscript 3 end subscript$
$rightwards double arrow$ $left parenthesis x plus 9 right parenthesis left curly bracket left parenthesis x to the power of 2 end exponent minus 12 right parenthesis minus left parenthesis 2 x minus 14 right parenthesis plus left parenthesis 12 minus 7 x right parenthesis right curly bracket equals 0$
$rightwards double arrow$ $left parenthesis x plus 9 right parenthesis left parenthesis x to the power of 2 end exponent minus 9 x plus 14 right parenthesis equals 0$
$rightwards double arrow left parenthesis x plus 9 right parenthesis left parenthesis x minus 2 right parenthesis left parenthesis x minus 7 right parenthesis equals 0$
Hence the other two roots are $x equals 27$ .

If $omega$ is a cube root of unity, then $open vertical bar table row cell x plus 1 end cell omega cell omega to the power of 2 end exponent end cell row omega cell x plus omega to the power of 2 end exponent end cell 1 row cell omega to the power of 2 end exponent end cell 1 cell x plus omega end cell end table close vertical bar equals$

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$open vertical bar table row cell b to the power of 2 end exponent plus c to the power of 2 end exponent end cell cell a to the power of 2 end exponent end cell cell a to the power of 2 end exponent end cell row cell b to the power of 2 end exponent end cell cell c to the power of 2 end exponent plus a to the power of 2 end exponent end cell cell b to the power of 2 end exponent end cell row cell c to the power of 2 end exponent end cell cell c to the power of 2 end exponent end cell cell a to the power of 2 end exponent plus b to the power of 2 end exponent end cell end table close vertical bar equals$

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In the expansion of $fraction numerator 1 plus x over denominator 1 factorial end fraction plus fraction numerator left parenthesis 1 plus x right parenthesis to the power of 2 end exponent over denominator 2 factorial end fraction plus fraction numerator left parenthesis 1 plus x right parenthesis to the power of 3 end exponent over denominator 3 factorial end fraction plus..... comma$ the coefficient of $x to the power of n end exponent$ will be

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The value of $log subscript 3 end subscript invisible function application e minus log subscript 9 end subscript invisible function application e plus log subscript 27 end subscript invisible function application e....$ is equal to

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The sum to infinity of the given series $fraction numerator 1 over denominator n end fraction minus fraction numerator 1 over denominator 2 n to the power of 2 end exponent end fraction plus fraction numerator 1 over denominator 3 n to the power of 3 end exponent end fraction minus fraction numerator 1 over denominator 4 n to the power of 4 end exponent end fraction plus....$ is

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$log subscript a end subscript invisible function application x$ is defined for $left parenthesis a greater than 0 right parenthesis$

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The sum of the series $fraction numerator 1 over denominator 2.3 end fraction plus fraction numerator 1 over denominator 4.5 end fraction plus fraction numerator 1 over denominator 6.7 end fraction plus... equals$

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$fraction numerator 1 over denominator 5 end fraction plus fraction numerator 1 over denominator 2 end fraction. fraction numerator 1 over denominator 5 to the power of 2 end exponent end fraction plus fraction numerator 1 over denominator 3 end fraction. fraction numerator 1 over denominator 5 to the power of 3 end exponent end fraction plus..... infinity equals$

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Physics-

White light is incident normally on a thin film which has n = 1.5 and a thickness of 5000 Å. For what wavelengths in the visible spectrum (4000 – 7000 Å) will the intensity of the reflected light be a maximum?

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Biology

The sum of 730 + 450 using front – end estimation is______.

Front-end estimation means rounding off a number to the nearest place value of the leading digit of the number.

The sum of 730 + 450 using front – end estimation is______.

Maths-General

Front-end estimation means rounding off a number to the nearest place value of the leading digit of the number.

General

Maths-Video

Round the number 5432 to the nearest hundred.

For rounding off to the nearest hundred, we can also look at the number formed by the tens place digit and one place digit. If the number formed is less than 50,we round down and if the number is 50 or more we round up.

Round the number 5432 to the nearest hundred.

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If – 9 is a root of the equation $open vertical bar table row x 3 7 row 2 x 2 row 7 6 x end table close vertical bar equals 0$ then the other two roots are

2, 7
– 2, 7
2, –7
– 2, –7

The correct answer is: 2, 7

Related Questions to study

The value of $log subscript 3 end subscript invisible function application e minus log subscript 9 end subscript invisible function application e plus log subscript 27 end subscript invisible function application e....$ is equal to

The value of $log subscript 3 end subscript invisible function application e minus log subscript 9 end subscript invisible function application e plus log subscript 27 end subscript invisible function application e....$ is equal to

$log subscript a end subscript invisible function application x$ is defined for $left parenthesis a greater than 0 right parenthesis$

$log subscript a end subscript invisible function application x$ is defined for $left parenthesis a greater than 0 right parenthesis$

The sum of the series $fraction numerator 1 over denominator 2.3 end fraction plus fraction numerator 1 over denominator 4.5 end fraction plus fraction numerator 1 over denominator 6.7 end fraction plus... equals$

The sum of the series $fraction numerator 1 over denominator 2.3 end fraction plus fraction numerator 1 over denominator 4.5 end fraction plus fraction numerator 1 over denominator 6.7 end fraction plus... equals$

White light is incident normally on a thin film which has n = 1.5 and a thickness of 5000 Å. For what wavelengths in the visible spectrum (4000 – 7000 Å) will the intensity of the reflected light be a maximum?

White light is incident normally on a thin film which has n = 1.5 and a thickness of 5000 Å. For what wavelengths in the visible spectrum (4000 – 7000 Å) will the intensity of the reflected light be a maximum?

Which of the following is less general in characters as compared to genus?

Which of the following is less general in characters as compared to genus?

For which of the following motions gravity is not responsible?

For which of the following motions gravity is not responsible?

The velocity-time graph of a uniformly decelerating motion is a ____.

The velocity-time graph of a uniformly decelerating motion is a ____.

Sepia is also known as

Sepia is also known as

The sum of 730 + 450 using front – end estimation is______.

The sum of 730 + 450 using front – end estimation is______.

Round the number 5432 to the nearest hundred.

Round the number 5432 to the nearest hundred.

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If – 9 is a root of the equation then the other two roots are

2, 7 – 2, 7 2, –7 – 2, –7

The correct answer is: 2, 7

,by Hence the other two roots are .

Related Questions to study

If is a cube root of unity, then

If is a cube root of unity, then

In the expansion of the coefficient of will be

In the expansion of the coefficient of will be

The value of is equal to

The value of is equal to

The sum to infinity of the given series is

The sum to infinity of the given series is

is defined for

is defined for

The sum of the series

The sum of the series

White light is incident normally on a thin film which has n = 1.5 and a thickness of 5000 Å. For what wavelengths in the visible spectrum (4000 – 7000 Å) will the intensity of the reflected light be a maximum?

White light is incident normally on a thin film which has n = 1.5 and a thickness of 5000 Å. For what wavelengths in the visible spectrum (4000 – 7000 Å) will the intensity of the reflected light be a maximum?

Which of the following is less general in characters as compared to genus?

Which of the following is less general in characters as compared to genus?

For which of the following motions gravity is not responsible?

For which of the following motions gravity is not responsible?

The velocity-time graph of a uniformly decelerating motion is a ____.

The velocity-time graph of a uniformly decelerating motion is a ____.

Sepia is also known as

Sepia is also known as

The sum of 730 + 450 using front – end estimation is______.

The sum of 730 + 450 using front – end estimation is______.

Round the number 5432 to the nearest hundred.

Round the number 5432 to the nearest hundred.

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If – 9 is a root of the equation $open vertical bar table row x 3 7 row 2 x 2 row 7 6 x end table close vertical bar equals 0$ then the other two roots are

2, 7
– 2, 7
2, –7
– 2, –7

The value of $log subscript 3 end subscript invisible function application e minus log subscript 9 end subscript invisible function application e plus log subscript 27 end subscript invisible function application e....$ is equal to

The value of $log subscript 3 end subscript invisible function application e minus log subscript 9 end subscript invisible function application e plus log subscript 27 end subscript invisible function application e....$ is equal to

$log subscript a end subscript invisible function application x$ is defined for $left parenthesis a greater than 0 right parenthesis$

$log subscript a end subscript invisible function application x$ is defined for $left parenthesis a greater than 0 right parenthesis$

The sum of the series $fraction numerator 1 over denominator 2.3 end fraction plus fraction numerator 1 over denominator 4.5 end fraction plus fraction numerator 1 over denominator 6.7 end fraction plus... equals$

The sum of the series $fraction numerator 1 over denominator 2.3 end fraction plus fraction numerator 1 over denominator 4.5 end fraction plus fraction numerator 1 over denominator 6.7 end fraction plus... equals$