Use factoring to find the solutions for 30=−x^2+13x .(1 point)

Question

Responses

x=−10,−3

x=3,10

x=−3,10

x=−10,3

Answer 1

To solve the equation, we can rearrange it to be in quadratic form:
x^2 - 13x + 30 = 0.

Now we can factor the quadratic expression:
(x - 10)(x - 3) = 0.

Setting each factor equal to zero, we find the solutions for x:
x - 10 = 0 -> x = 10
x - 3 = 0 -> x = 3

Thus, the solutions to the equation are x = 3 and x = 10.
Therefore, the correct option is:
x=3,10