Solve 16u^2-8u^4 - ScanMath

Evaluate

16 u^{2} - 8 u^{4}

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

16 u^{2} - 8 u^{4} = 0

Factor the expression

8 u^{2} (2 - u^{2}) = 0

Divide both sides

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

Separate the equation into 2 possible cases

u^{2} = 0 2 - u^{2} = 0

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

u = 0 2 - u^{2} = 0

Solve the equation

More Steps

u = 0 u = 2 u = - 2

Solution

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

Alternative Form

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

Factor the expression