Example

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

Question

$$100- { x }^{ 2 } =289-y$$

Answer

x=sqrt(y-189),-sqrt(y-189)

Solution


Subtract \(100\) from both sides.
\[-{x}^{2}=289-y-100\]
Simplify  \(289-y-100\)  to  \(189-y\).
\[-{x}^{2}=189-y\]
Multiply both sides by \(-1\).
\[{x}^{2}=-189+y\]
Regroup terms.
\[{x}^{2}=y-189\]
Take the square root of both sides.
\[x=\pm \sqrt{y-189}\]
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