Solve 16x^4-113x^2 196=0

Evaluate

16 x^{4} - 113 x^{2} \times 196 = 0

Multiply the terms

16 x^{4} - 22148 x^{2} = 0

Factor the expression

4 x^{2} (4 x^{2} - 5537) = 0

Divide both sides

x^{2} (4 x^{2} - 5537) = 0

Separate the equation into 2 possible cases

x^{2} = 0 4 x^{2} - 5537 = 0

The only way a power can be 0 is when the base equals 0

x = 0 4 x^{2} - 5537 = 0

Solve the equation

More Steps

x = 0 x = \frac{7 113}{2} x = - \frac{7 113}{2}

Solution

x_{1} = - \frac{7 113}{2}, x_{2} = 0, x_{3} = \frac{7 113}{2}

Alternative Form

x_{1} \approx - 37.20551, x_{2} = 0, x_{3} \approx 37.20551

Solve the equation