Solve a1/a^2=b1/b^2=c1/c^2

Evaluate

{a \times \frac{1}{a ^{2}} = b \times \frac{1}{b ^{2}} b \times \frac{1}{b ^{2}} = c \times \frac{1}{c ^{2}}

Calculate

More Steps

{\frac{1}{a} = \frac{1}{b} b \times \frac{1}{b ^{2}} = c \times \frac{1}{c ^{2}}

Calculate

More Steps

{\frac{1}{a} = \frac{1}{b} \frac{1}{b} = \frac{1}{c}

Solve the equation for a

{a = b \frac{1}{b} = \frac{1}{c}

Substitute the given value of a into the equation \frac{1}{b} = \frac{1}{c}

\frac{1}{b} = \frac{1}{c}

Solve the equation for b

b = c

Substitute the given value of b into the equation a = b

a = c

Solution

(a, b, c) = (c, c, c), c \in R

Alternative Form

Infinitely many solutions

Solve the system of equations