What is the positive solution to x2=2x+24

Answer 1

To find the positive solution to x^2 = 2x + 24, we can rewrite the equation as x^2 - 2x - 24 = 0.

Now, we can solve this quadratic equation by factoring or using the quadratic formula. Factoring x^2 - 2x - 24 = 0, we get:

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

Setting each factor to zero and solving for x gives us two possible solutions:

x - 6 = 0 --> x = 6
x + 4 = 0 --> x = -4

Since we are looking for the positive solution, the only valid answer is x = 6.

Therefore, the positive solution to x^2 = 2x + 24 is x = 6.