Solve 2 3/4 w^4 =48

Question

Solve the equation

w_{1} = - \frac{2 4 15972}{11}, w_{2} = \frac{2 4 15972}{11}

Alternative Form

w_{1} \approx - 2.043982, w_{2} \approx 2.043982

Evaluate

2 \frac{3}{4} \times w^{4} = 48

Covert the mixed number to an improper fraction

More Steps

\frac{11}{4} w^{4} = 48

Multiply by the reciprocal

\frac{11}{4} w^{4} \times \frac{4}{11} = 48 \times \frac{4}{11}

Multiply

w^{4} = 48 \times \frac{4}{11}

Multiply

More Steps

w^{4} = \frac{192}{11}

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

w = \pm 4 \frac{192}{11}

Simplify the expression

More Steps

w = \pm \frac{2 4 15972}{11}

Separate the equation into 2 possible cases

w = \frac{2 4 15972}{11} w = - \frac{2 4 15972}{11}

Solution

w_{1} = - \frac{2 4 15972}{11}, w_{2} = \frac{2 4 15972}{11}

Alternative Form

w_{1} \approx - 2.043982, w_{2} \approx 2.043982

Show Solution