SOLUTION: asolve for X by completeting the square x^2-10x+3=0

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Question 1067495: asolve for X by completeting the square
x^2-10x+3=0

Answer by ikleyn(53763) About Me  (Show Source):
You can put this solution on YOUR website!
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asolve for X by completeting the square
x^2-10x+3=0
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x^2 - 10x + 3 = 0

is equivalent to

(x^2 - 10x + 25) - 25 + 3 = 0

is equivalent to

%28x-5%29%5E2 - 22 = 0

is equivalent to

%28x-5%29%5E2 = 22

is equivalent to

x-5 = +/- sqrt%2822%29

is equivalent to

x = 5+%2B-+sqrt%2822%29.


The two roots are x%5B1%5D = 5+%2B+sqrt%2822%29  and  x%5B2%5D = 5+-+sqrt%2822%29.

Solved.