Class-X Quadratic Equations

Quadratic Formula

ax2 + bx + c = 0 is a quadratic equation in the variable x. Here a, b, c are real numbers and a ≠ 0

If α is the root of quadratic equation ax2 + bx + c = 0

For a given quadratic equation, ax2 + bx + c = 0; the roots can be given by

Nature of Roots:

• If b2 – 4ac > 0; the equation has two distinct roots.
• If b2 – 4ac = 0; the equation has two equal roots.
• If b2 – 4ac < 0; the equation has no real roots.