What is the positive solution to x^2=2x+24

Answer 1

To find the positive solution to the equation x^2 = 2x + 24, we first need to rewrite the equation in standard form:

x^2 - 2x - 24 = 0

Now, we can solve for x by factoring or using the quadratic formula. Factoring the equation, we get:

(x - 6)(x + 4) = 0

Setting each factor to zero gives us two potential solutions:

x - 6 = 0 or x + 4 = 0

x = 6 or x = -4

Since we are looking for the positive solution, x = 6 is the positive solution to the equation x^2 = 2x + 24.