Question Bank

If the equation (k-1)x^2 + (k+1)x + (k-1) = 0 has real and equal roots, find k.

The sum of the squares of two consecutive odd numbers is 290. Find the numbers.

If α, β are roots of x^2 + px + q = 0, find α/β + β/α.

For the equation x^2 + x + 1 = 0, α^3 + β^3 is:

If x^2 - 4x + 1 = 0, then the value of x + 1/x is:

The roots of the equation 4^x - 3 ⋅ 2^{x+2} + 32 = 0 are:

If roots of ax^2 + bx + c = 0 are in ratio 2:3, then:

Which of the following has equal roots?

Solve: x + 6/x = 5.

If roots of x^2 - px + q = 0 are consecutive integers, then p^2 - 4q is:

The roots of the equation x^2 + px + q = 0 are real and equal if:

If a and c have opposite signs, then the roots of ax^2 + bx + c = 0 are:

Find the product of roots: 5x^2 - 1 = 0.

Solve: sqrt(x + 5) = x - 1.

If roots are α and β, then 1/α^2 + 1/β^2 equals:

Which equation has roots 0 and 5?

What is the product of roots of x^2 - 7x = 0?

If the sum of roots of x^2 - kx + 6 = 0 is 5, find k.

The nature of roots of 9x^2 - 6x + 1 = 0 is:

If one root of x^2 - 3x + q = 0 is 1, the other root is: