Question

Find X in this equation: 5x^2-5x-30=0

x=? x=???

Answer 1

x1 = -2;

x2 = 3

Explanation:

`5 {x}^(2) - 5x - 30 = 0`

Solve this quadratic equation (a = 5; b = -5; c = -30)

`d = {b}^(2) - 4ac = ( { - 5})^(2) - 4 * 5 * ( - 30) = 25 + 600 = 625 > 0`

x1 = (-b - √d) / 2a = (5 - 25) / 2 × 5 = -20 / 10 = -2

`x2 = ( - b + √(d) )/(2a) = (5 + 25)/(2 * 5) = (30)/(10) = 3`