Question

Which of the following shows the square completed in this equation?
x2 + 3x - 5 = 0
I dont get how to do this one.

Answer 1

which of the following?

Answer 2

it should look something like \[(x+\frac{3}{2})^2=\text{something}\]

Answer 3

\[x^2+3x-5=0\]
\[x^2+3x=5\]
\[(x+\frac{3}{2})^2=5+\frac{9}{4}=\frac{29}{4}\]
\[x+\frac{3}{2}=\pm\frac{\sqrt{29}}{2}\]
\[x=-\frac{3}{2}\pm\frac{\sqrt{29}}{2}\]

Answer 4

thanks! but which one wuld it be?
(x + 9)2 = 14
(x - 3)2 = 8
(x + 1.5)2 = 7.25

Answer 5

Did you see that Satellite said the left side should be (x+3/2)^2

Answer 6

Yes. so it would be the 2nd one? sorry just confused

Answer 7

It's the third one.
You get there after this stage:
(x+3/2)^2=5+9/4
3/2 is 1.5 and 5+9/4 is 7.5

Answer 8

thanks!