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if xsquare-3x= 13 what does x equal?

 May 7, 2016
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if xsquare-3x= 13 what does x equal?

 

x^2 - 3x =13

 

Solve for x:
x^2-3 x = 13

 

Add 9/4 to both sides:
x^2-3 x+9/4 = 61/4

 

Write the left hand side as a square:
(x-3/2)^2 = 61/4

 

Take the square root of both sides:
x-3/2 = sqrt(61)/2 or x-3/2 = -sqrt(61)/2

 

Add 3/2 to both sides:
x = 3/2+sqrt(61)/2 or x-3/2 = -sqrt(61)/2

 

Add 3/2 to both sides:
Answer: |  x = 3/2+sqrt(61)/2      or      x = 3/2-sqrt(61)/2

 May 7, 2016

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