Solve 2z = x^2 a^2 y^2 b^2

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Example problems

Type your math problem... 2z = x^2 a^2 y^2 b^2

Question

Solve the equation

Solve for x

Solve for a

Solve for b

x = \frac{2 z}{∣ a y b ∣} x = - \frac{2 z}{∣ a y b ∣}

Evaluate

2 z = x^{2} a^{2} y^{2} b^{2}

Rewrite the expression

2 z = a^{2} y^{2} b^{2} x^{2}

Swap the sides of the equation

a^{2} y^{2} b^{2} x^{2} = 2 z

Divide both sides

\frac{a ^{2} y ^{2} b ^{2} x ^{2}}{a ^{2} y ^{2} b ^{2}} = \frac{2 z}{a ^{2} y ^{2} b ^{2}}

Divide the numbers

x^{2} = \frac{2 z}{a ^{2} y ^{2} b ^{2}}

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

x = \pm \frac{2 z}{a ^{2} y ^{2} b ^{2}}

Simplify the expression

More Steps

Evaluate

\frac{2 z}{a ^{2} y ^{2} b ^{2}}

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

\frac{2 z}{a ^{2} y ^{2} b ^{2}}

Simplify the radical expression

More Steps

Evaluate

a^{2} y^{2} b^{2}

Rewrite the expression

a^{2} \times y^{2} \times b^{2}

Simplify the root

∣ a y b ∣

\frac{2 z}{∣ a y b ∣}

x = \pm \frac{2 z}{∣ a y b ∣}

Solution

x = \frac{2 z}{∣ a y b ∣} x = - \frac{2 z}{∣ a y b ∣}

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