Question

please explain??
what are the solutions of 1/2(2x-3)^2+1=11

Answer 1

1/2(2x-3)^2+1=11

1/2(2x-3)^2+1-1=11-1

1/2(2x-3)^2=10

2*( 1/2(2x-3)^2 )=2*10

(2x-3)^2 = 20

Can you take it from here?

Answer 2

ill try

Answer 3

ok tell me what you get

Answer 4

im stuck

Answer 5

where

Answer 6

I squared the equation

Answer 7

no, you take the square root of both sides

Answer 8

oh ok

Answer 9

so far I have 2x-3=2√ 5

Answer 10

good

Answer 11

remember it should be +- (plus/minus) 2√ 5

Answer 12

since there are 2 solutions to any quadratic

Answer 13

im not sure what to do next?

Answer 14

do you add the 3 to the other side

Answer 15

yes

Answer 16

so is it 2x=3±2√ 5?

Answer 17

good

Answer 18

keep going

Answer 19

so its x=3/2±√5

Answer 20

you can write it like that (\(\Large x = \frac{3}{2}\pm\sqrt{5}\))

or you can write it like \[\Large x = \frac{3\pm2\sqrt{5}}{2}\]

Answer 21

ok thanks sooo much

Answer 22

yw