Brian is solving the equation x2-3/4x=5. What value must be added to both sides of the equation to make the left side a perfect-

Question

2 hours ago

5

square trinomial?

2 answers:

lawyer [3.9K] · Answer 1 · 2026-03-05T15:22:00+03:00

6 0

we have

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

Take the term $\frac{3}{4}$ and divide it by $2$ , then perform the squaring operation

$(\frac{(3/4)}{2})^{2}= \frac{9}{64}$

Apply this to both sides

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

Rewrite it to achieve a perfect square

$(x-\frac{3}{8})^{2}=\frac{329}{64}$

thus

the result is

$\frac{9}{64}$

AnnZ [3.8K] · Answer 2 · 2026-03-05T15:24:23+03:00

AnnZ [3.8K]2 hours ago

4 0

To find the result of dividing 3/4 by 2, and then squaring it: 3/4 divided by 2 equals 3/8, which when squared becomes 9/64.