Solve 4m^2 - n^2 = 16

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Type your math problem... 4m^2 - n^2 = 16

Question

Solve the equation

Solve for m

Solve for n

m = \frac{16 + n ^{2}}{2} m = - \frac{16 + n ^{2}}{2}

Evaluate

4 m^{2} - n^{2} = 16

Move the expression to the right-hand side and change its sign

4 m^{2} = 16 + n^{2}

Divide both sides

\frac{4 m ^{2}}{4} = \frac{16 + n ^{2}}{4}

Divide the numbers

m^{2} = \frac{16 + n ^{2}}{4}

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

m = \pm \frac{16 + n ^{2}}{4}

Simplify the expression

More Steps

Evaluate

\frac{16 + n ^{2}}{4}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{16 + n ^{2}}{4}

Simplify the radical expression

More Steps

Evaluate

4

Write the number in exponential form with the base of 2

2^{2}

Reduce the index of the radical and exponent with 2

2

\frac{16 + n ^{2}}{2}

m = \pm \frac{16 + n ^{2}}{2}

Solution

m = \frac{16 + n ^{2}}{2} m = - \frac{16 + n ^{2}}{2}

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