Solve m1m^2=-b^2/a^2

Evaluate

m \times 1 \times m^{2} = - \frac{b ^{2}}{a ^{2}}

Multiply the terms

More Steps

m^{3} = - \frac{b ^{2}}{a ^{2}}

Swap the sides of the equation

- \frac{b ^{2}}{a ^{2}} = m^{3}

Rewrite the expression

\frac{- b ^{2}}{a ^{2}} = m^{3}

Cross multiply

- b^{2} = a^{2} m^{3}

Simplify the equation

- b^{2} = m^{3} a^{2}

Swap the sides of the equation

m^{3} a^{2} = - b^{2}

Divide both sides

\frac{m ^{3} a ^{2}}{m ^{3}} = \frac{- b ^{2}}{m ^{3}}

Divide the numbers

a^{2} = \frac{- b ^{2}}{m ^{3}}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

a^{2} = - \frac{b ^{2}}{m ^{3}}

Take the root of both sides of the equation and remember to use both positive and negative roots

a = \pm - \frac{b ^{2}}{m ^{3}}

Simplify the expression

More Steps

a = \pm \frac{- b ^{2} m}{m ^{2}}

Separate the equation into 2 possible cases

a = \frac{- b ^{2} m}{m ^{2}} a = - \frac{- b ^{2} m}{m ^{2}}

Simplify

a = \frac{b - m}{m ^{2}} a = - \frac{- b ^{2} m}{m ^{2}}

Solution

a = \frac{b - m}{m ^{2}} a = - \frac{b - m}{m ^{2}}

Solve the equation