Solve e^2 = m^2c^4 p^2c^2 - ScanMath

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Type your math problem... e^2 = m^2c^4 p^2c^2

Question

Solve the equation

Solve for c

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Solve for m

Solve for p

c = \frac{3 e m ^{2} p ^{2}}{∣ m p ∣} c = - \frac{3 e m ^{2} p ^{2}}{∣ m p ∣}

Evaluate

e^{2} = m^{2} c^{4} p^{2} c^{2}

Multiply

More Steps

e^{2} = m^{2} c^{6} p^{2}

Rewrite the expression

e^{2} = m^{2} p^{2} c^{6}

Swap the sides of the equation

m^{2} p^{2} c^{6} = e^{2}

Divide both sides

\frac{m ^{2} p ^{2} c ^{6}}{m ^{2} p ^{2}} = \frac{e ^{2}}{m ^{2} p ^{2}}

Divide the numbers

c^{6} = \frac{e ^{2}}{m ^{2} p ^{2}}

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

c = \pm 6 \frac{e ^{2}}{m ^{2} p ^{2}}

Simplify the expression

More Steps

c = \pm \frac{3 e}{3 ∣ m p ∣}

Separate the equation into 2 possible cases

c = \frac{3 e}{3 ∣ m p ∣} c = - \frac{3 e}{3 ∣ m p ∣}

Calculate

More Steps

c = \frac{3 e ∣ m p ∣ ^{2}}{∣ m p ∣} c = - \frac{3 e}{3 ∣ m p ∣}

Calculate

More Steps

c = \frac{3 e ∣ m p ∣ ^{2}}{∣ m p ∣} c = - \frac{3 e ∣ m p ∣ ^{2}}{∣ m p ∣}

Calculate

More Steps

c = \frac{3 e m ^{2} p ^{2}}{∣ m p ∣} c = - \frac{3 e ∣ m p ∣ ^{2}}{∣ m p ∣}

Solution

More Steps

c = \frac{3 e m ^{2} p ^{2}}{∣ m p ∣} c = - \frac{3 e m ^{2} p ^{2}}{∣ m p ∣}

Show Solution