Question

Help please! (:

Solve each equation by undoing each operation:

2(x+4)^2-7=0

Answer 1

I'll get you started


\[\large 2(x+4)^2-7=0\]


\[\large 2(x+4)^2=7\]


\[\large (x+4)^2=\frac{7}{2}\]

Answer 2

tell me what you get when you finish that up

Answer 3

do u divide 7 and 2?

Answer 4

no leave that as a fraction if you want an exact answer

Answer 5

your next step is to undo the square

Answer 6

Im not sure how to do that:/ sorry!
would you get 4x^2=4/2
or would you square root both sides..

Answer 7

you would apply the square root to both sides

Answer 8

since the square root undoes the square

Answer 9

mmkay, so:
\[4+ or - \sqrt{7/2}\]

Answer 10

close

Answer 11

im confused..

Answer 12

well you had x+4

so to undo the +4, you subtract 4 from both sides

Answer 13

which means the 4 should be negative

Answer 14

oh, okay. Thanks!

Answer 15

and keep in mind that

\[\large \sqrt{\frac{7}{2}} = \frac{\sqrt{7}}{\sqrt{2}}\]


\[\large \sqrt{\frac{7}{2}} = \frac{\sqrt{7}\sqrt{2}}{\sqrt{2}\sqrt{2}}\]


\[\large \sqrt{\frac{7}{2}} = \frac{\sqrt{7*2}}{\sqrt{2*2}}\]


\[\large \sqrt{\frac{7}{2}} = \frac{\sqrt{14}}{\sqrt{4}}\]


\[\large \sqrt{\frac{7}{2}} = \frac{\sqrt{14}}{2}\]

Answer 16

Oh my goodness, haha(: thanks!!

Answer 17

so

\[\large x = -4 \pm \sqrt{\frac{7}{2}}\]

turns into

\[\large x = -4\pm\frac{\sqrt{14}}{2}\]

Answer 18

and finally...

\[\large x=-4\pm\frac{\sqrt{14}}{2}\]

\[\large x=-\frac{8}{2}\pm\frac{\sqrt{14}}{2}\]

\[\large x=\frac{-8\pm\sqrt{14}}{2}\]

Answer 19

technically once you've isolated x, you're done...but...some books will want it in certain forms and this is usually a form you'll see the answer in

Answer 20

haha(: wow! thanx! GBU!!

Answer 21

yw