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If a is a constant such that 4x^2-12x+a is the square of a binomial, then what is a?

 Jun 16, 2018
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factor out a 4 then complete the square

4(x^2 - 3x)

-3/2

 (-3/2)^2 = 9/4

 

4(x^2-3x+9/4) 

 

4(x^2-3x+9/4) -9 cause 9/4 * 4 = 9, so you added 9 you need to subtract 9 to equalize

 

a = -9

 Jun 16, 2018

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