Question

What is the solution of x^2+4x=96

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the solution of the equation x^2 + 4x = 96, we first start by rearranging the equation to form a quadratic equation in standard form:

x^2 + 4x - 96 = 0

Next, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, we will use the quadratic formula:

x = [-b ± √(b^2 - 4ac)] / 2a

For our equation x^2 + 4x - 96 = 0, the coefficients are a = 1, b = 4, and c = -96. Substituting these values into the quadratic formula:

x = [-4 ± √(4^2 - 4*1*(-96)] / 2*1
x = [-4 ± √(16 + 384)] / 2
x = [-4 ± √400] / 2
x = [-4 ± 20] / 2

This results in two possible solutions for x:

x1 = (-4 + 20) / 2 = 16 / 2 = 8
x2 = (-4 - 20) / 2 = -24 / 2 = -12

Therefore, the solutions to the equation x^2 + 4x = 96 are x = 8 and x = -12.