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how to solve x^2-18x-77?...need to show the working

 Sep 30, 2017
 #1
avatar+2328 
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There is no equation here because of the lack of an equal sign. Thus, there cannot be any "solving."

 Sep 30, 2017
 #2
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I took the liberty to add the "=" sign !!!

 

Solve for x:
x^2 - 18 x - 77 = 0

Add 77 to both sides:
x^2 - 18 x = 77

Add 81 to both sides:
x^2 - 18 x + 81 = 158

Write the left hand side as a square:
(x - 9)^2 = 158

Take the square root of both sides:
x - 9 = sqrt(158) or x - 9 = -sqrt(158)

Add 9 to both sides:
x = 9 + sqrt(158)        or          x = 9 - sqrt(158)

 Sep 30, 2017

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