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

 Oct 17, 2019
edited by Guest  Oct 17, 2019
 #1
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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

 Oct 17, 2019

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