Solve u1 u^3=2u^2

Evaluate

u \times 1 \times u^{3} = 2 u^{2}

Multiply the terms

More Steps

u^{4} = 2 u^{2}

Move the expression to the left side

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

Factor the expression

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

Separate the equation into 2 possible cases

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

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

u = 0 u^{2} - 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

Solve the equation