Solve 3x^2 4x^2 = 25^2

Evaluate

3 x^{2} \times 4 x^{2} = 2 5^{2}

Multiply

More Steps

12 x^{4} = 2 5^{2}

Divide both sides

\frac{12 x ^{4}}{12} = \frac{2 5 ^{2}}{12}

Divide the numbers

x^{4} = \frac{2 5 ^{2}}{12}

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

x = \pm 4 \frac{2 5 ^{2}}{12}

Simplify the expression

More Steps

x = \pm \frac{5 4 108}{6}

Separate the equation into 2 possible cases

x = \frac{5 4 108}{6} x = - \frac{5 4 108}{6}

Solution

x_{1} = - \frac{5 4 108}{6}, x_{2} = \frac{5 4 108}{6}

Alternative Form

x_{1} \approx - 2.686425, x_{2} \approx 2.686425

Solve the equation