Question

Use the quadratic formula to solve the following quadratic equation:

X^2-2x-20=4

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the quadratic equation x^2 - 2x - 20 = 4 using the quadratic formula, we have:

x = (-b ± √(b^2 - 4ac)) / (2a)

Given that the equation is x^2 - 2x - 20 = 4, we can see that:

a = 1
b = -2
c = -24

Plugging these values into the quadratic formula, we get:

x = (-(-2) ± √((-2)^2 - 4(1)(-24))) / (2(1))
x = (2 ± √(4 + 96)) / 2
x = (2 ± √100) / 2
x = (2 ± 10) / 2

Simplifying the equation further, we have:

x = (2 + 10) / 2 or x = (2 - 10) / 2
x = 12 / 2 or x = -8 / 2
x = 6 or x = -4

Therefore, the solutions to the quadratic equation x^2 - 2x - 20 = 4 are x = 6 and x = -4.