Which of the following is a quadratic equation?

Which of the following is a quadratic equation?

Which of the following is not a quadratic equation?

If x = 3 is a solution of the equation 3x² + (k – 1)x + 9 = 0 then k = ?

If one root of the equation 2x² + ax + 6 = 0 is 2 then a = ?

The sum of the roots of the equation x² – 6x + 2 = 0 is

If the product of the roots of the equation x² – 3x + k = 10 is - 2 then the value of k is

The ratio of the sum and product of the roots of the equation

7x² - 12x + 18 = 0 is

If one root of the equation 3x² - 10x + 3 = 0 is 1/3 then the other root is

If one root of 5x² + 13x + k = 0 be the reciprocal of the other root then the value of k is

If the sum of the roots of the equation kx² + 2x + 3k = 0 is equal to their product then the value of k is

The roots of a quadratic equation are 5 and - 2. Then, the equation is

If the sum of the roots of a quadratic equation is 6 and their product is 6, the equation is

If α and β are the roots of the equation 3x² + 8x + 2 = 0 then = ?

The roots of the equation ax² + bx + c = 0 will be reciprocal of each other if

If the roots of the equation ax² + bx + c = 0 are equal then c = ?

If the equation 9x² + 6kx + 4 = 0 has equal roots then k = ?

If the equation x² + 2(k + 2)x + 9k = 0 has equal roots then k = ?

If the equation 4x² - 3kx + 1 = 0 has equal roots then k = ?

The roots of ax² + bx + c = 0, a 0 are real and unequal, if (b² - 4ac) is

In the equation ax² + bx + c = 0, it is given that D = (b² - 4ac) > 0. Then, the roots of the equation are

The roots of the equation 2x² - 6x + 7 = 0 are

The roots of the equation 2x² - 6x + 3 = 0 are

If the roots of 5x² - kx + 1 = 0 are real and distinct then

If the equation x² + 5kx + 16 = 0 has no real roots then

If the equation x² - kx + 1 = 0 has no real roots then

For what values of k, the equation kx² - 6x - 2 = 0 has real roots?

The sum of a number and its reciprocal is . The number is

The perimeter of a rectangle is 82 m and its area is 400 m². The breadth of the rectangle is

The length of a rectangular field exceeds its breadth by 8 m and the area of the field is 240 m². The breadth of the field is

The roots of the quadratic equation 2x² - x - 6 = 0 are

The sum of two natural numbers is 8 and their product is 15. Find the numbers.

Show that x = - 3 is a solution of x² + 6x + 9 = 0.

Show that x = - 2 is a solution of 3x² + 13x + 14 = 0.

If is a solution of the quadratic equation 3x² + 2kx - 3 = 0, find the value of k.

Find the roots of the quadratic equation 2x² - x - 6 = 0.

Find the solution of the quadratic equation 3√3x² + 10x + √3 = 0

If the roots of the quadratic equation 2x² + 8x + k = 0 are equal then find the value of k.

If the quadratic equation px² –2√5px + 15 = 0 has two equal roots then find the value of p.

If 1 is a root of the equation ay² + ay + 3 = 0 and y² + y + b = 0 then find the value of ab.

If one zero of the polynomial x² - 4x + 1 is (2 + √3 ), write the other zero.

If one root of the quadratic equation 3x² - 10x + k = 0 is reciprocal of the other, find the value of k.

If the roots of the quadratic equation px(x – 2) + 6 = 0 are equal, find the value of p.

Find the values of k so that the quadratic equation x² – 4kx + k = 0 has equal roots.

Find the values of k for which the quadratic equation 9x² – 3kx + k = 0 has equal roots.

Solve:

Solve: 2x² + ax – a² = 0

Solve: 3x² + 5√5x – 10 = 0

Solve: √3x² + 10x – 8√3 = 0.

Solve: √3x² – 2√2x – 2√3 = 0

Solve: 4√3x² + 5x –2√3 = 0

Solve: 4x² + 4bx – (a² – b²) = 0.

Solve: x² + 5x – (a² + a – 6) = 0

x² + 6x – (a² + 2a – 8) = 0

x² – 4ax + 4a² – b² = 0