Solve. x 2 - 5x-8=0 x2-5x-8=0 Enter your answers, as exact values, in the boxes. x = or x =

x2-5x-8=0

Step-by-step explanation:

Two solutions were found:

x = (5-√57) / 2=-1.275

x = (5+√57) / 2 = 6.275

Reformatting the input:

Changes made to your input should not affect the solution:

(1) : "x2" was replaced by "x^2".

Step by step solution:

Step 1:

Trying to factor by splitting the middle term

1.1 Factoring x2-5x-8

The first term is, x2 its coefficient is 1.

The middle term is, - 5x its coefficient is - 5.

The last term, "the constant", is - 8

Step-1 : Multiply the coefficient of the first term by the constant 1 • - 8 = - 8

Step-2 : Find two factors of - 8 whose sum equals the coefficient of the middle term, which is - 5.

-8 + 1 = - 7

-4 + 2 = - 2

-2 + 4 = 2

-1 + 8 = 7