Question

Solve by factoring x^2-9x-52=0

a. x=-13,4
b. x=-3,3
c. x=13,4
d. x=-4,13

Answer 1

D. x = -4,13

Explanation:

Given the expression
x^2-9x-52=0

Its possible to factorize it into

(x+4)(x-13) = 0

For this to be true X+4 = 0 or x-13=0

X+4=0

x+4-4=0-4

x=-4

or

x-13=0

x-13+13=0+13

x=13

Answer 2

First, let's try to factor the equation x^2 - 9x - 52 = 0.

We are looking for two numbers that multiply to -52 (the constant term) and add to -9 (the coefficient of the linear term). The two numbers that satisfy this condition are -13 and 4.

This means that the quadratic equation can be factored as follows:

x^2 - 9x - 52 = (x - 13)(x + 4) = 0

Setting each factor equal to zero gives the solutions to the equation:

x - 13 = 0 --> x = 13

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

So the solution to the equation is x = 13, -4. Therefore, the correct answer is:

c. x = 13, 4

Your welcome.