Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$y=a { x }^{ 2 } +C$$

Answer

x=sqrt((y-C)/a),-sqrt((y-C)/a)

Solution


Subtract \(C\) from both sides.
\[y-C=a{x}^{2}\]
Divide both sides by \(a\).
\[\frac{y-C}{a}={x}^{2}\]
Take the square root of both sides.
\[\pm \sqrt{\frac{y-C}{a}}=x\]
Switch sides.
\[x=\pm \sqrt{\frac{y-C}{a}}\]
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