Solve y=(x a)^2 b

Evaluate

y = (x a)^{2} b

Multiply the terms

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

Rewrite the expression

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

Swap the sides of the equation

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

Divide both sides

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

Divide the numbers

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

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

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

Simplify the expression

More Steps

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

Separate the equation into 2 possible cases

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

Simplify

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

Solution

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

Solve the equation