Mathematics Questions

Solve for x: x + 6/x = 5.

The sum of a number and its square is 42. Find the number.

For what value of p does the equation px^2 - 4x + 3 = 0 have no real roots?

Solve for x: (x+3)^2 = 25.

If α and β are roots of 2x^2 - 4x + 1 = 0, find the value of 1/α + 1/β.

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

The product of two consecutive even numbers is 168. Find the numbers.

Find k if one root of x^2 - 8x + k = 0 is 3 times the other.

The roots of x^2 - 2√2x + 2 = 0 are:

If 4 is a root of x^2 - px + 12 = 0, what is the value of p?

If the roots of (k-1)x^2 - 10x + 3 = 0 are reciprocal, find k.

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

Which of the following has real and equal roots?

The area of a rectangular field is 60 sq m. If its length is 7m more than its width, find the width.

The sum of the roots of 0.2x^2 - 0.4x + 0.1 = 0 is:

If the discriminant of x^2 + bx + 1 = 0 is negative, then:

If x^2 - 1/9 = 0, then x is:

Find the value of 'a' if roots of ax^2 + 2x + 1 = 0 are real.

If α, β are roots of x^2 - x - 1 = 0, find αβ.

The quadratic equation whose one root is 2 + √3 is: