Brian is solving the equation x 2 3 4x 5

Asked by maham237 @ 25/04/2021 in Mathematics viewed by 396 People

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?

Answered by maham237 @ 25/04/2021

Given equation is :

$x^{2} -\frac{3x}{4} =5$

Step 1: half of coefficient of x

$\frac{-3}{4} *\frac{1}{2} = \frac{-3}{8}$

Squaring this we get

$(\frac{-3}{8} )^{2} = \frac{9}{64}$

step 2:

Adding $\frac{9}{64}$ to both sides

$x^{2} -\frac{3x}{4} +\frac{9}{64} = 5 +\frac{9}{64}$

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