Let x^2+15x=49. What values make an equivalent number sentence after completing the square?

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asked Nov 22, 2018 45.7k views

1 Answer

Mani Tajaddini · Answer 1 · 2018-11-29T03:00:03+0000

take 1/2 of linear cofient (15)
15/2=7.5
sqquare it and add to both sides
56.25

x^2+15x+56.25=49+56.25
factor perfect square
(x+7.5)^2=105.25

the value would be 56.25

Let x^2+15x=49. What values make an equivalent number sentence after completing the square?

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