​Use completing square to find the solutions of the equations.

Algebra
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Use completing square to find the solutions of the equations.

a. x^2+2x-2=0                      b. x^2-6x=1

Dec 15th, 2014

a. 

x^2+2x=2 (move -2 to right hand side)

x^2+2x+1=2+1 (add 1 on both side, square of the half of the coefficient of x if 1)

(x+1)^2=3 (factoring left hand side)

x+1=+-sqrt3 

x=-1+-sqrt3


b.

x^2-6x=1

x^2-6x+9=1+9 (add 9 on both side, square of the half of the coefficient of x if 9)

(x-3)^2=10 (factoring left hand side)

x-3=+-sqrt10

x=3+-sqrt10


Thank you :-)

Dec 15th, 2014

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Dec 15th, 2014
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