Example

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

Question

$$y= { x }^{ 2 } + \frac{ 5 }{ 2 } 3$$

Answer

x=sqrt(y-15/2),-sqrt(y-15/2)

Solution


Did you want to graph this instead?
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[y={x}^{2}+\frac{5\times 3}{2}\]
Simplify  \(5\times 3\)  to  \(15\).
\[y={x}^{2}+\frac{15}{2}\]
Subtract \(\frac{15}{2}\) from both sides.
\[y-\frac{15}{2}={x}^{2}\]
Take the square root of both sides.
\[\pm \sqrt{y-\frac{15}{2}}=x\]
Switch sides.
\[x=\pm \sqrt{y-\frac{15}{2}}\]
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