Mathematics Questions

Solve for x: (x+2)^2 = 25.

If α and β are roots of x^2 + bx + c = 0, then α^2 + β^2 is:

Find the product of the roots of the equation (x-5)(x+2) = 10.

The roots of ax^2 + bx + c = 0 are real if:

If the sum of the roots of 3x^2 + (2k+1)x - (k+5) = 0 is equal to their product, find k.

Solve 6x^2 - x - 2 = 0.

The sum of a number and its reciprocal is 2. The quadratic equation is:

If x^2 + 5x + 6 = 0, find the value of (1/α + 1/β) where α, β are roots.

A room is 3m longer than it is wide. If the area is 40 sq. m, find the width.

The discriminant of √2x^2 + 7x + 5√2 = 0 is:

If the roots of x^2 - bx + c = 0 differ by 1, then:

Solve: 2x^2 - x - 6 = 0.

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?