Solve 2025-4-22t^23:32:72

Question

Simplify the expression

\frac{776064 - 11 t ^{2}}{384}

Show Solution

t_{1} = - \frac{8 133386}{11}, t_{2} = \frac{8 133386}{11}

Alternative Form

t_{1} \approx - 265.614896, t_{2} \approx 265.614896

Evaluate

2025 - 4 - 22 t^{2} \times 3 \div 32 \div 72

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

2025 - 4 - 22 t^{2} \times 3 \div 32 \div 72 = 0

Multiply the terms

2025 - 4 - 66 t^{2} \div 32 \div 72 = 0

Divide the terms

More Steps

2025 - 4 - \frac{33 t ^{2}}{16} \div 72 = 0

Divide the terms

More Steps

2025 - 4 - \frac{11 t ^{2}}{384} = 0

Subtract the numbers

2021 - \frac{11 t ^{2}}{384} = 0

Subtract the terms

More Steps

\frac{776064 - 11 t ^{2}}{384} = 0

Simplify

776064 - 11 t^{2} = 0

Rewrite the expression

- 11 t^{2} = - 776064

Change the signs on both sides of the equation

11 t^{2} = 776064

Divide both sides

\frac{11 t ^{2}}{11} = \frac{776064}{11}

Divide the numbers

t^{2} = \frac{776064}{11}

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

t = \pm \frac{776064}{11}

Simplify the expression

More Steps

t = \pm \frac{8 133386}{11}

Separate the equation into 2 possible cases

t = \frac{8 133386}{11} t = - \frac{8 133386}{11}

Solution

t_{1} = - \frac{8 133386}{11}, t_{2} = \frac{8 133386}{11}

Alternative Form

t_{1} \approx - 265.614896, t_{2} \approx 265.614896

Show Solution