Solve -2x^(2) 8x^(2) 15x^(2)-5x^(2)

Question

Simplify the expression

- 240 x^{6} - 5 x^{2}

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- 5 x^{2} (48 x^{4} + 1)

Show Solution

x_{1} = - \frac{4 108}{12} + \frac{4 108}{12} i, x_{2} = \frac{4 108}{12} - \frac{4 108}{12} i, x_{3} = 0

Alternative Form

x_{1} \approx - 0.268642 + 0.268642 i, x_{2} \approx 0.268642 - 0.268642 i, x_{3} = 0

Evaluate

- 2 x^{2} \times 8 x^{2} \times 15 x^{2} - 5 x^{2}

To find the roots of the expression,set the expression equal to 0

- 2 x^{2} \times 8 x^{2} \times 15 x^{2} - 5 x^{2} = 0

Multiply

More Steps

- 240 x^{6} - 5 x^{2} = 0

Factor the expression

- 5 x^{2} (48 x^{4} + 1) = 0

Divide both sides

x^{2} (48 x^{4} + 1) = 0

Separate the equation into 2 possible cases

x^{2} = 0 48 x^{4} + 1 = 0

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

x = 0 48 x^{4} + 1 = 0

Solve the equation

More Steps

x = 0 x = \frac{4 108}{12} - \frac{4 108}{12} i x = - \frac{4 108}{12} + \frac{4 108}{12} i

Solution

x_{1} = - \frac{4 108}{12} + \frac{4 108}{12} i, x_{2} = \frac{4 108}{12} - \frac{4 108}{12} i, x_{3} = 0

Alternative Form

x_{1} \approx - 0.268642 + 0.268642 i, x_{2} \approx 0.268642 - 0.268642 i, x_{3} = 0

Show Solution