Solve a^(2) b^(2)=c^(2) b

Evaluate

a^{2} b^{2} = c^{2} b

Rewrite the expression

b^{2} a^{2} = c^{2} b

Divide both sides

\frac{b ^{2} a ^{2}}{b ^{2}} = \frac{c ^{2} b}{b ^{2}}

Divide the numbers

a^{2} = \frac{c ^{2} b}{b ^{2}}

Divide the numbers

More Steps

a^{2} = \frac{c ^{2}}{b}

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

a = \pm \frac{c ^{2}}{b}

Simplify the expression

More Steps

a = \pm \frac{∣ c ∣ \times b}{∣ b ∣}

Separate the equation into 2 possible cases

a = \frac{∣ c ∣ \times b}{∣ b ∣} a = - \frac{∣ c ∣ \times b}{∣ b ∣}

Calculate

{a = - \frac{∣ c ∣ \times b}{∣ b ∣} b \neq = 0 {a = \frac{∣ c ∣ \times b}{∣ b ∣} b \neq = 0

Solution

a = - \frac{∣ c ∣ \times b}{∣ b ∣}, b \neq = 0 a = \frac{∣ c ∣ \times b}{∣ b ∣}, b \neq = 0

Solve the equation