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10th-Grade-Mathematics-Australia

Easy

Question

Find the values of k for each of the following quadratic equations, so that they have two equal roots. 2x² + kx + 3 = 0

$\pm 3 \sqrt 6$
$\pm 2 \sqrt 6$
$\pm \sqrt{6}$
$\pm 6 \sqrt 6$

The correct answer is: $plus-or-minus 2 √ 6$

Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.

Weekly-Tests-10th-Grade-Mathematics-Australia

10th-Grade-Mathematics-Australia

Weekly-Tests-

Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m² ? If so, find its length and breadth.

Weekly-Tests-10th-Grade-Mathematics-Australia

10th-Grade-Mathematics-Australia

Weekly-Tests-

Find the discriminant of the equation 3x² – 2x + 1 3 = 0 and hence find the nature of its roots.

Weekly-Tests-10th-Grade-Mathematics-Australia

10th-Grade-Mathematics-Australia

Weekly-Tests-

Find two consecutive odd positive integers, sum of whose squares is 290.

Weekly-Tests-10th-Grade-Mathematics-Australia

10th-Grade-Mathematics-Australia

Weekly-Tests-

A rectangle has its length as The area of the rectangle is 30m². Find the value of x?

Weekly-Tests-10th-Grade-Mathematics-Australia

10th-Grade-Mathematics-Australia

Weekly-Tests-

A rectangle has its length as The area of the rectangle is 4m². Find the value of

Weekly-Tests-10th-Grade-Mathematics-Australia

10th-Grade-Mathematics-Australia

Weekly-Tests-

$x left parenthesis x plus 7 right parenthesis$

Weekly-Tests-10th-Grade-Mathematics-Australia

10th-Grade-Mathematics-Australia

Weekly-Tests-

$negative 1 less than space space fraction numerator 3 x minus 1 space space over denominator 4 end fraction less or equal than 4$

Weekly-Tests-10th-Grade-Mathematics-Australia

10th-Grade-Mathematics-Australia

Weekly-Tests-

$negative space 5 less than 2 x plus 1 space less or equal than 9$

Weekly-Tests-10th-Grade-Mathematics-Australia

10th-Grade-Mathematics-Australia

Weekly-Tests-

3x + 5 >16, find the smallest value of x. where x is an integer.

Weekly-Tests-10th-Grade-Mathematics-Australia

10th-Grade-Mathematics-Australia

Weekly-Tests-

Jerry has a floor, i.e. 4m x 5 m. He also has a 10m²of carpet and wants to use it to make it a border round the floor, with the uniform width. Find the width of the border.

Weekly-Tests-10th-Grade-Mathematics-Australia

10th-Grade-Mathematics-Australia

Weekly-Tests-

$8 x squared minus 2 x minus 21 equals 0$

Weekly-Tests-10th-Grade-Mathematics-Australia

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Find the values of k for each of the following quadratic equations, so that they have two equal roots. 2x2 + kx + 3 = 0

The correct answer is:

Related Questions to study

Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.

Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.

Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2 ? If so, find its length and breadth.

Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2 ? If so, find its length and breadth.

Find the discriminant of the equation 3x2 – 2x + 1 3 = 0 and hence find the nature of its roots.

Find the discriminant of the equation 3x2 – 2x + 1 3 = 0 and hence find the nature of its roots.

Find two consecutive odd positive integers, sum of whose squares is 290.

Find two consecutive odd positive integers, sum of whose squares is 290.

A rectangle has its length as The area of the rectangle is 30m2. Find the value of x?

A rectangle has its length as The area of the rectangle is 30m2. Find the value of x?

Use the quadratic formula to solve:

Use the quadratic formula to solve:

Use the quadratic formula to solve:

Use the quadratic formula to solve:

Use the quadratic formula to solve:

Use the quadratic formula to solve:

A rectangle has its length as The area of the rectangle is 4m2. Find the value of

A rectangle has its length as The area of the rectangle is 4m2. Find the value of

3x + 5 >16, find the smallest value of x. where x is an integer.

3x + 5 >16, find the smallest value of x. where x is an integer.

Jerry has a floor, i.e. 4m x 5 m. He also has a 10m2 of carpet and wants to use it to make it a border round the floor, with the uniform width. Find the width of the border.

Jerry has a floor, i.e. 4m x 5 m. He also has a 10m2 of carpet and wants to use it to make it a border round the floor, with the uniform width. Find the width of the border.

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Find the values of k for each of the following quadratic equations, so that they have two equal roots. 2x² + kx + 3 = 0

The correct answer is: $plus-or-minus 2 √ 6$

Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m² ? If so, find its length and breadth.

Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m² ? If so, find its length and breadth.

Find the discriminant of the equation 3x² – 2x + 1 3 = 0 and hence find the nature of its roots.

Find the discriminant of the equation 3x² – 2x + 1 3 = 0 and hence find the nature of its roots.

A rectangle has its length as The area of the rectangle is 30m². Find the value of x?

A rectangle has its length as The area of the rectangle is 30m². Find the value of x?

Use the quadratic formula to solve: $4 x squared minus 14 x plus 12 equals 0$

Use the quadratic formula to solve: $4 x squared minus 14 x plus 12 equals 0$

Use the quadratic formula to solve: $3 x squared minus 2 x minus 8 equals 0$

Use the quadratic formula to solve: $3 x squared minus 2 x minus 8 equals 0$

Use the quadratic formula to solve: $3 x squared plus 5 x minus 12 equals 0$

Use the quadratic formula to solve: $3 x squared plus 5 x minus 12 equals 0$

A rectangle has its length as The area of the rectangle is 4m². Find the value of

A rectangle has its length as The area of the rectangle is 4m². Find the value of

Jerry has a floor, i.e. 4m x 5 m. He also has a 10m²of carpet and wants to use it to make it a border round the floor, with the uniform width. Find the width of the border.

Jerry has a floor, i.e. 4m x 5 m. He also has a 10m²of carpet and wants to use it to make it a border round the floor, with the uniform width. Find the width of the border.