SOLUTION: Sviatoslav solved the quadratic equation x^2-x-1=0 by completing the square. In the process, he came up with the equivalent equation (x+a)^2 = b, where a and b are constants. Wh

Question 1086031: Sviatoslav solved the quadratic equation x^2-x-1=0 by completing the square. In the process, he came up with the equivalent equation (x+a)^2 = b, where a and b are constants.
What is b?
Found 2 solutions by josmiceli, MathLover1:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

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Comparing this with the original equation:

and

----------------------
check:

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

.....to complete square, recall ;so, we need to add and subtract
.. ..since coefficients and , we have ->->

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