Solve -3-2t^2 / 2t^2

Evaluate

- 3 - (2 \times \frac{t ^{2}}{2}) t^{2}

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

- 3 - (2 \times \frac{t ^{2}}{2}) t^{2} = 0

Multiply the terms

More Steps

- 3 - t^{2} \times t^{2} = 0

Multiply the terms

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- 3 - t^{4} = 0

Move the constant to the right-hand side and change its sign

- t^{4} = 0 + 3

Removing 0 doesn't change the value,so remove it from the expression

- t^{4} = 3

Change the signs on both sides of the equation

t^{4} = - 3

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

t = \pm 4 - 3

Simplify the expression

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t = \pm (\frac{4 12}{2} + \frac{4 12}{2} i)

Separate the equation into 2 possible cases

t = \frac{4 12}{2} + \frac{4 12}{2} i t = - \frac{4 12}{2} - \frac{4 12}{2} i

Solution

t_{1} = - \frac{4 12}{2} - \frac{4 12}{2} i, t_{2} = \frac{4 12}{2} + \frac{4 12}{2} i

Alternative Form

t_{1} \approx - 0.930605 - 0.930605 i, t_{2} \approx 0.930605 + 0.930605 i

Simplify the expression