To make the perfect square needed to add a) 1 , b) 100 and c) 25/4.
What is a perfect square?
An expression obtained from the square of the binomial equation is a perfect square trinomial
What value needed make each expression a perfect square?
we know that
A perfect square trinomial is (x+a)² = x²+2xa+a²
a) Given x² + 2x
Compare with the perfect square trinomial formula
then a = 1
therefore
(x+1)² = x²+2x+1
b) Given x² - 20x
Compare with the perfect square trinomial formula
then a = -10
therefore
(x-10)² = x²-20x+100
c) Given x² + 5x
Compare with the perfect square trinomial formula
then a = 5/2
therefore
(x+5/2)² = x²+5x+25/4
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