Solve (u 10)^(2)-48=0

Evaluate

(u \times 10)^{2} - 48 = 0

Simplify

More Steps

100 u^{2} - 48 = 0

Add or subtract both sides

100 u^{2} = 48

Divide both sides

\frac{100 u ^{2}}{100} = \frac{48}{100}

Divide the numbers

u^{2} = \frac{12}{25}

Take the root of both sides of the equation and remember to use both positive and negative roots

u = \pm \frac{12}{25}

Simplify the expression

u = \pm \frac{2 3}{5}

Separate the equation into 2 possible cases

u = \frac{2 3}{5} u = - \frac{2 3}{5}

Solution

u_{1} = - \frac{2 3}{5}, u_{2} = \frac{2 3}{5}

Alternative Form

u_{1} \approx - 0.69282, u_{2} \approx 0.69282

Solve the quadratic equation