Solve 8^2=6x^2 5x^2

Question

Solve the equation

x_{1} = - \frac{2 4 6750}{15}, x_{2} = \frac{2 4 6750}{15}

Alternative Form

x_{1} \approx - 1.20855, x_{2} \approx 1.20855

Evaluate

8^{2} = 6 x^{2} \times 5 x^{2}

Multiply

More Steps

8^{2} = 30 x^{4}

Swap the sides of the equation

30 x^{4} = 8^{2}

Divide both sides

\frac{30 x ^{4}}{30} = \frac{8 ^{2}}{30}

Divide the numbers

x^{4} = \frac{8 ^{2}}{30}

Divide the numbers

More Steps

x^{4} = \frac{2 ^{5}}{15}

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

x = \pm 4 \frac{2 ^{5}}{15}

Simplify the expression

More Steps

x = \pm \frac{2 4 6750}{15}

Separate the equation into 2 possible cases

x = \frac{2 4 6750}{15} x = - \frac{2 4 6750}{15}

Solution

x_{1} = - \frac{2 4 6750}{15}, x_{2} = \frac{2 4 6750}{15}

Alternative Form

x_{1} \approx - 1.20855, x_{2} \approx 1.20855

Show Solution