Solve t/2 3/2\sqrt 4-t t^2 -2

Evaluate

\frac{t}{2} \times \frac{3}{2} 4 - t \times t^{2} - 2

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

\frac{t}{2} \times \frac{3}{2} 4 - t \times t^{2} - 2 = 0

Evaluate the square root

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

Multiply

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

Multiply the terms

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

Subtract the terms

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

Subtract the terms

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\frac{3 t - 2 t ^{3} - 4}{2} = 0

Simplify

3 t - 2 t^{3} - 4 = 0

Solution

t \approx - 1.647427

Simplify the expression