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

Guest Oct 17, 2019

edited by
Guest
Oct 17, 2019

#1**0 **

Solve for x:

x^2 - 5 x - 8 = 0

Add 8 to both sides:

x^2 - 5 x = 8

Add 25/4 to both sides:

x^2 - 5 x + 25/4 = 57/4

Write the left hand side as a square:

(x - 5/2)^2 = 57/4

Take the square root of both sides:

x - 5/2 = sqrt(57)/2 or x - 5/2 = -sqrt(57)/2

Add 5/2 to both sides:

x = 5/2 + sqrt(57)/2 or x - 5/2 = -sqrt(57)/2

Add 5/2 to both sides:

** x = 5/2 + sqrt(57)/2 or x = 5/2 - sqrt(57)/2**

Guest Oct 17, 2019