Solve the equation x²-5x-2=0 by completing the square method
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x²-5x-2=0
Multiply the equation throughout by 4, we get
4x²-20x-8=0
This is the same as
(2x)²-2(2x)(5)+5²-5²-8=0
(2x-5)²-25-8=0
(2x-5)²-33=0
(2x-5)²= 33
2x-5=±√33
Therefore, the roots are (5+√33)/2 and (5-√33)/2
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