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Find a such that ax^2+15x+9 is the square of a binomial.

 Oct 1, 2021
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(sqrta x +3)^2 = ax^2 + 15x + 9     expand the binomial on the L side

 

 ax^2 + 6 sqrt a + 9 = ax^2 + 15x + 9

so    6sqrt a = 15

          sqrt a = 2.5

          a = 6.25

 Oct 1, 2021

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