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Rearrange the formula
quad p=(3h^(2))/(5) to make
h the subject.

Rearrange the formula $\quad p=\frac{3 h^{2}}{5}$ to make $h$ the subject.

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Quadratic equation with complex roots

Full solution

Q. Rearrange the formula

\quad p=\frac{3 h^{2}}{5}

to make

h

the subject.

Multiply by $5$ : Multiply both sides by $5$ to get rid of the denominator. $\newline$ $5 \times p = \frac{5 \times (3h^2)}{5}$ $\newline$ $5p = 3h^2$
Divide by $3$ : Divide both sides by $3$ to isolate $h^2$ . $\newline$ $\frac{5p}{3} = \frac{3h^2}{3}$ $\newline$ $\frac{5p}{3} = h^2$
Take square root: Take the square root of both sides to solve for $h$ . $h = \sqrt{\frac{5p}{3}}$
Check solution: Check the solution by substituting back into the original equation. $\newline$ $p = \frac{3(\sqrt{\frac{5p}{3}})^2}{5}$ $\newline$ $p = \frac{3(\frac{5p}{3})}{5}$ $\newline$ $p = \frac{5p}{5}$ $\newline$ $p = p$

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