Find m if (m-12)x2 + 2 (m - 12)x + 2 = 0 has real and equal roots.

Q8 of 87 Page 53

Find m if (m-12)x² + 2 (m - 12)x + 2 = 0 has real and equal roots.

⇒

∴

⇒

m = 12 or m = 14

Solve the following quadratic equation.

5m² + 2m + 1 = 0

Solve the following quadratic equation.

x² – 4x – 3 = 0

The sum of two roots of a quadratic equation is 5 and sum of their cubes is 35, find the equation.

Find quadratic equation such that its roots are square of sum of the roots and square of difference of the roots of equation

2x² + 2(p + q)x + p² + q² = 0

Questions · 87

2. Quadratic Equations

1 2 3 4 5 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 1 2 2 2 3 3 3 4 5 6 7 7 1 2 3 4 5 6 7 8 9 10 1 1 1 1 1 1 1 1 2 3 3 3 4 5 5 5 6 6 6 7 7 7 7 7 7 8 9 10 11 12 13 14 15