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Make
y the subject of the formula:

x=sqrt(yp+p^(2))

Make $y$ the subject of the formula: $\newline$ $x=\sqrt{y p+p^{2}}$

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Domain and range of square root functions: equations

Full solution

Q. Make

y

the subject of the formula:

\newline

x=\sqrt{y p+p^{2}}

Isolate $y$ in equation: We have the equation $x = \sqrt{y p + p^2}$ . To make $y$ the subject of the formula, we need to isolate $y$ on one side of the equation.
Eliminate square root: Square both sides of the equation to eliminate the square root. This gives us $x^2 = yp + p^2$ .
Subtract $p^2$ : Subtract $p^2$ from both sides to get $x^2 - p^2 = yp$ .
Solve for y: Divide both sides by $p$ to solve for $y$ . This gives us $y = \frac{x^2 - p^2}{p}$ .

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