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Brian is solving the equation x^2 - 3/4x= 5. What value must be added to both sides of the equation to make the left side a perfect-square trinomial?
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Brian is solving the equation x^2 - 3/4x= 5. What value must be added to both sides of the equation to make the left side a perfect-square trinomial?

User Nick Borodulin
by
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2 Answers

2 votes
x^2 - 3/4 x = 5

-3/4 / 2 = -3/8 so its

x^2 - 3/4x + 3/8^2 = 5 + 3/8^2

(x - 3/8)^2 = 5 + 9/64

The answer is 9/64
User Cocorico
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8.2k points
5 votes
((-3/4)/2)^2 = 9/64 I HOPE THIS HELP
User Sipke Schoorstra
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9.0k points
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