Solve 2w^2 - w^4 - ScanMath

Evaluate

2 w^{2} - w^{4}

To find the roots of the expression,set the expression equal to 0

2 w^{2} - w^{4} = 0

Factor the expression

w^{2} (2 - w^{2}) = 0

Separate the equation into 2 possible cases

w^{2} = 0 2 - w^{2} = 0

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

w = 0 2 - w^{2} = 0

Solve the equation

More Steps

w = 0 w = 2 w = - 2

Solution

w_{1} = - 2, w_{2} = 0, w_{3} = 2

Alternative Form

w_{1} \approx - 1.414214, w_{2} = 0, w_{3} \approx 1.414214

Factor the expression