Mathematics

Quadratic-Equations

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Question

The difference of the roots of 2y² – ky + 16 = 0 is $1 third$ . Find k.

$\pm \frac{32}{3}$
$\pm \frac{34}{3}$
$\pm \frac{38}{3}$
$\pm \frac{40}{3}$

The correct answer is: $plus-or-minus 34 over 3$

If (x + 2)(x + 4)(x + 6)(x + 8) = 945 and x is an integer, then find x.

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Quadratic-Equations

Mathematics

Rohan and Sohan were attempting to solve the quadratic equation, x² – ax + b = 0. Rohan copied the coefficient of x wrongly and obtained the roots as 4 and 12. Sohan copied the constant term wrongly and obtained the roots as -19 and 3. Find the correct roots.

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

If the roots of the equation 3ax² + 2bx + c = 0 are in the ratio 2 : 3, then _____.

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

If the roots of the quadratic equation ax² + bx + c = 0 are α and β, then the equation whose roots are α² and β² is _____.

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

What are the values of x which satisfy the equation, $square root of 5 x minus 6 end root plus fraction numerator 1 over denominator square root of 5 x minus 6 end root end fraction equals 10 over 3 ?$

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Quadratic-Equations

Mathematics

Which of the following are the roots of the equation |x|² + |x| - 6 = 0?
A) 2 B) -2 C) 3 D) -3

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

If the quadratic equation (a² - b²)x² + (b² - c²)x + (c² - a²) = 0 has equal roots, then which of the following is true?

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

Find the range of the values of x which satisfy the inequation, x² – 7x + 3 < 2x + 25.

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

If the sum of the squares of three consecutive odd natural numbers is 155, then their product will be equal to _____.

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

If α and β are the roots of the equation x² – 6x + 8 = 0, then find the value of α² + β²

MathematicsQuadratic-Equations

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The difference of the roots of 2y2 – ky + 16 = 0 is . Find k.

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Related Questions to study

If (x + 2)(x + 4)(x + 6)(x + 8) = 945 and x is an integer, then find x.

If (x + 2)(x + 4)(x + 6)(x + 8) = 945 and x is an integer, then find x.

Rohan and Sohan were attempting to solve the quadratic equation, x2 – ax + b = 0. Rohan copied the coefficient of x wrongly and obtained the roots as 4 and 12. Sohan copied the constant term wrongly and obtained the roots as -19 and 3. Find the correct roots.

Rohan and Sohan were attempting to solve the quadratic equation, x2 – ax + b = 0. Rohan copied the coefficient of x wrongly and obtained the roots as 4 and 12. Sohan copied the constant term wrongly and obtained the roots as -19 and 3. Find the correct roots.

If the roots of the equation 3ax2 + 2bx + c = 0 are in the ratio 2 : 3, then _____.

If the roots of the equation 3ax2 + 2bx + c = 0 are in the ratio 2 : 3, then _____.

If the roots of the quadratic equation ax2 + bx + c = 0 are α and β, then the equation whose roots are α2 and β2 is _____.

If the roots of the quadratic equation ax2 + bx + c = 0 are α and β, then the equation whose roots are α2 and β2 is _____.

What are the values of x which satisfy the equation,

What are the values of x which satisfy the equation,

Which of the following are the roots of the equation |x|2 + |x| - 6 = 0?A) 2 B) -2 C) 3 D) -3

Which of the following are the roots of the equation |x|2 + |x| - 6 = 0?A) 2 B) -2 C) 3 D) -3

If the quadratic equation (a2 - b2)x2 + (b2 - c2)x + (c2 - a2) = 0 has equal roots, then which of the following is true?

If the quadratic equation (a2 - b2)x2 + (b2 - c2)x + (c2 - a2) = 0 has equal roots, then which of the following is true?

Find the range of the values of x which satisfy the inequation, x2 – 7x + 3 < 2x + 25.

Find the range of the values of x which satisfy the inequation, x2 – 7x + 3 < 2x + 25.

If the sum of the squares of three consecutive odd natural numbers is 155, then their product will be equal to _____.

If the sum of the squares of three consecutive odd natural numbers is 155, then their product will be equal to _____.

The solution of the inequation, 15x2 – 31x + 14 < 0 is given by _____.

The solution of the inequation, 15x2 – 31x + 14 < 0 is given by _____.

If (x + 1) (x + 3) (x + 5) (x + 7) = 5760, find the real values of x.

If (x + 1) (x + 3) (x + 5) (x + 7) = 5760, find the real values of x.

If 3 · 22x+1 – 5 · 2x+2 + 16 = 0 and x is an integer, find the value of x.

If 3 · 22x+1 – 5 · 2x+2 + 16 = 0 and x is an integer, find the value of x.

Solve for x, |x|2 – 7|x| + 12 = 0.

Solve for x, |x|2 – 7|x| + 12 = 0.

Solve for x: 3x+1 + 32x+1 = 270

Solve for x: 3x+1 + 32x+1 = 270

If α and β are the roots of the equation x2 – 6x + 8 = 0, then find the value of α2 + β2

If α and β are the roots of the equation x2 – 6x + 8 = 0, then find the value of α2 + β2

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The difference of the roots of 2y² – ky + 16 = 0 is $1 third$ . Find k.

The correct answer is: $plus-or-minus 34 over 3$

Rohan and Sohan were attempting to solve the quadratic equation, x² – ax + b = 0. Rohan copied the coefficient of x wrongly and obtained the roots as 4 and 12. Sohan copied the constant term wrongly and obtained the roots as -19 and 3. Find the correct roots.

Rohan and Sohan were attempting to solve the quadratic equation, x² – ax + b = 0. Rohan copied the coefficient of x wrongly and obtained the roots as 4 and 12. Sohan copied the constant term wrongly and obtained the roots as -19 and 3. Find the correct roots.

If the roots of the equation 3ax² + 2bx + c = 0 are in the ratio 2 : 3, then _____.

If the roots of the equation 3ax² + 2bx + c = 0 are in the ratio 2 : 3, then _____.

If the roots of the quadratic equation ax² + bx + c = 0 are α and β, then the equation whose roots are α² and β² is _____.

If the roots of the quadratic equation ax² + bx + c = 0 are α and β, then the equation whose roots are α² and β² is _____.

What are the values of x which satisfy the equation, $square root of 5 x minus 6 end root plus fraction numerator 1 over denominator square root of 5 x minus 6 end root end fraction equals 10 over 3 ?$

What are the values of x which satisfy the equation, $square root of 5 x minus 6 end root plus fraction numerator 1 over denominator square root of 5 x minus 6 end root end fraction equals 10 over 3 ?$

Which of the following are the roots of the equation |x|² + |x| - 6 = 0?
A) 2 B) -2 C) 3 D) -3

Which of the following are the roots of the equation |x|² + |x| - 6 = 0?
A) 2 B) -2 C) 3 D) -3

If the quadratic equation (a² - b²)x² + (b² - c²)x + (c² - a²) = 0 has equal roots, then which of the following is true?

If the quadratic equation (a² - b²)x² + (b² - c²)x + (c² - a²) = 0 has equal roots, then which of the following is true?

Find the range of the values of x which satisfy the inequation, x² – 7x + 3 < 2x + 25.

Find the range of the values of x which satisfy the inequation, x² – 7x + 3 < 2x + 25.

The solution of the inequation, 15x² – 31x + 14 < 0 is given by _____.

The solution of the inequation, 15x² – 31x + 14 < 0 is given by _____.

If 3 · 2^2x+1 – 5 · 2^x+2 + 16 = 0 and x is an integer, find the value of x.

If 3 · 2^2x+1 – 5 · 2^x+2 + 16 = 0 and x is an integer, find the value of x.

Solve for x, |x|² – 7|x| + 12 = 0.

Solve for x, |x|² – 7|x| + 12 = 0.

Solve for x: 3^x+1 + 3^2x+1 = 270

Solve for x: 3^x+1 + 3^2x+1 = 270

If α and β are the roots of the equation x² – 6x + 8 = 0, then find the value of α² + β²

If α and β are the roots of the equation x² – 6x + 8 = 0, then find the value of α² + β²