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By completing the square, the expression x^2+16x+53equals (x+A)^2+B

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I need to know how to find the value of A and B, but I dont know how to do that.
asked Mar 5, 2014 in ALGEBRA 2 by harvy0496 Apprentice

1 Answer

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Given expression x^2+16x+53 = (x+A)^2+B

To complte squre add (half of x coefficient)^2 and subtract it.

x coefficient is 16, So (half coefficient of x)^2 is 64.

x^2+16x+53+64-64 = (x+A)^2+B

x^2+16x+64+53-64 = (x+A)^2+B

(x+8)^2-11 = (x+A)^2+B

A = 8 and B = -11

answered Mar 5, 2014 by ashokavf Scholar

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