Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
y 2 − 1 4 y + . . . .
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A square is written in the form of an expanded quadratic as x^2-2 (a) (x)+a^2
Since, in the equation given a=7, a^2=49
Hence, 49 should be added
You can complete the square by halving the given bx th term and then square it.
In order to complete the square, all we need to do is add ( b ÷ 2 ) 2 for a quadratic in the form a 2 + b x + c = 0 where in this problem a = 0 , b = − 1 4 and c = 0 . ( b ÷ 2 ) 2 = ( − 1 4 ÷ 2 ) 2 = ( − 7 ) 2 = 4 9
14=b (b/2)^2=c ax^2+/-bx+/-c
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you can complete the square by adding (b/2)^2
.