## anonymous 4 years ago Can you find x for this equation? Also, please show your work... I can't figure out how you got your answer otherwise! 12+sqrt(4*(9/7)(x-24)) = 3+sqrt(4*2.25(x-6)) You can see the equation better here... http://i.imgur.com/AQjFl.gif

1. 2bornot2b

$12+\sqrt{4\times(9/7)(x-24)} = 3+\sqrt{4\times2.25(x-6)}$ $\implies12+\sqrt{(36/7)(x-24)} = 3+\sqrt{9(x-6)}$ $\implies9 = \sqrt{9(x-6)}-\sqrt{(36/7)(x-24)}$ squaring both sides $\implies81 =9(x-6) +(36/7)(x−24)-2\sqrt{9(x-6)}\sqrt{(36/7)(x-24)}$ $\implies81 -9(x-6) -(36/7)(x−24)=-2\sqrt{9(x-6)}\sqrt{(36/7)(x-24)}$ Again square both sides $\implies[81 -9(x-6) -(36/7)(x−24)]^2=(-2)^2[{9(x-6)}{(36/7)(x-24)}$ Now the radical signs have been removed. So now you can proceed in the general way..

2. 2bornot2b

Hope you can do the rest

3. anonymous

I think so... You've gotten me past the part I've had trouble on... thanks a lot!