Question

how to solve quadratic equation ax^2+bx+c=0

Answer 1

how to solve quadratic equation ax^2+bx+c=0

Use the quadratic formula, which is

x = [-b ±√(b^2 – 4ac)]/(2a)

Example: Solve the quadratic equation: 3x^2 - 7x - 9

Here we have a = 3, b = -7, c = -9.

Substituting for a, b and c in the quadratic formula,

x = [7 ±√((-7)^2 – 4(3)(-9))]/(2(3))

x = [7 ±√(49 + 108)]/(6)

x = [7 ±√(157)]/6

The two solutions are: x1 = [7 + √(157)]/6, x2 = [7 - √(157)]/6