Solve the quadratic equation.

x2 + 9x − 36 = 0

x = 3 or 12
x = 3 or −12
x = 6 or −6
no real solution

1 answer

The quadratic equation x^2 + 9x - 36 = 0 can be solved using the quadratic formula or factoring.

Using the quadratic formula, x = (-b ± √(b^2 - 4ac)) / 2a, where a = 1, b = 9, and c = -36:

x = (-9 ± √(9^2 - 4(1)(-36))) / 2(1)
x = (-9 ± √(81 + 144)) / 2
x = (-9 ± √(225)) / 2
x = (-9 ± 15) / 2

Therefore, we have two solutions:

x = (-9 + 15) / 2 = 6/2 = 3
x = (-9 - 15) / 2 = -24/2 = -12

So, the quadratic equation x^2 + 9x - 36 = 0 can be solved as x = 3 or x = -12.