- #1

thatboi

- 46

- 5

I am having trouble solving the following equation for C

$$A(-\sqrt{C^2+4F_{+}}-C) = B(\sqrt{C^2+4F_{-}}+C)$$

I don't know how to get ride of the square roots on both sides.

Any help would be appreciated, thanks!

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- I
- Thread starter thatboi
- Start date

- #1

thatboi

- 46

- 5

I am having trouble solving the following equation for C

$$A(-\sqrt{C^2+4F_{+}}-C) = B(\sqrt{C^2+4F_{-}}+C)$$

I don't know how to get ride of the square roots on both sides.

Any help would be appreciated, thanks!

- #2

- 17,645

- 18,312

\sqrt{C^2+4F_{+}}&=D\sqrt{C^2+4F_{-}}+EC\\

C^2+4F_{+}&=D^2\left(C^2+4F_{-}\right)+E^2C^2+2DEC\sqrt{C^2+4F_{-}}\\

GC^2+H&=C\sqrt{C^2+4F_{-}}\\

G^2C^4+H^2+2GHC^2&=C^2(C^2+4F_{-})\\

\alpha C^4 + \beta C^2 +\gamma &=0

\end{align*}

Looks like some work to do because of the many constants, but doable.

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