Solve 102=8x^49 - ScanMath

Evaluate

102 = 8 x^{4} \times 9

Multiply the terms

102 = 72 x^{4}

Swap the sides of the equation

72 x^{4} = 102

Divide both sides

\frac{72 x ^{4}}{72} = \frac{102}{72}

Divide the numbers

x^{4} = \frac{102}{72}

Cancel out the common factor 6

x^{4} = \frac{17}{12}

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

x = \pm 4 \frac{17}{12}

Simplify the expression

More Steps

x = \pm \frac{4 1836}{6}

Separate the equation into 2 possible cases

x = \frac{4 1836}{6} x = - \frac{4 1836}{6}

Solution

x_{1} = - \frac{4 1836}{6}, x_{2} = \frac{4 1836}{6}

Alternative Form

x_{1} \approx - 1.09098, x_{2} \approx 1.09098

Solve the equation