Rearranging Equations for Solving Complex Algebraic Expressions

[Jeebuz]

Hopefully this can be done. It should be relatively simple, I'm just awful at rearranging equations.

I have: x = 90 - sqrt(100+x^2) - sqrt(100+x)

I want to find the value of x.

If someone could guide me through the process I would be eternally grateful. I know there's something about reversing operations, but I get lost in the details. ;)

 

[cyby]

Hopefully this can be done. It should be relatively simple, I'm just awful at rearranging equations.

I have: x = 90 - sqrt(100+x^2) - sqrt(100+x)

I want to find the value of b.

If someone could guide me through the process I would be eternally grateful. I know there's something about reversing operations, but I get lost in the details. ;)

I'm sorry, but I don't see any "b" in the equation.

 

[Jeebuz]

I'm sorry, but I don't see any "b" in the equation.

Oops... so sorry. I meant x. I changed it at the last minute. :hangs head in shame:

 

[cyby]

Have you considered squaring the equation and then using the quadratic formula?

 

[dextercioby]

Have you considered squaring the equation and then using the quadratic formula?

Yeah,a geberal advice...But first,he mustput one (either one) of his square roots in the other side of the equation (left,if I'm not mistaking) and then square.He has to square 2 times in all,of course.Let's hope that by squaring twice he won't be gettin'a nasty 4-th order algebraic equation...