Solve x^4=2(m-1)*x^2

Evaluate

x^{4} = 2 (m - 1) x^{2}

Multiply the terms

x^{4} = 2 x^{2} (m - 1)

Rewrite the expression

x^{4} = (2 m - 2) x^{2}

Move the expression to the left side

x^{4} - (2 m - 2) x^{2} = 0

Add or subtract both sides

x^{4} + (- 2 m + 2) x^{2} = 0

Factor the expression

x^{2} (x^{2} - 2 m + 2) = 0

Separate the equation into 2 possible cases

x^{2} = 0 x^{2} - 2 m + 2 = 0

The only way a power can be 0 is when the base equals 0

x = 0 x^{2} - 2 m + 2 = 0

Solution

More Steps

x = 0 x = 2 m - 2 x = - 2 m - 2

Solve the equation