Solve t^2025-6-422:30

Question

Simplify the expression

25 t^{2} - \frac{301}{15}

Show Solution

\frac{1}{15} (375 t^{2} - 301)

Show Solution

t_{1} = - \frac{4515}{75}, t_{2} = \frac{4515}{75}

Alternative Form

t_{1} \approx - 0.895917, t_{2} \approx 0.895917

Evaluate

t^{2} \times 25 - 6 - 422 \div 30

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

t^{2} \times 25 - 6 - 422 \div 30 = 0

Use the commutative property to reorder the terms

25 t^{2} - 6 - 422 \div 30 = 0

Divide the terms

More Steps

25 t^{2} - 6 - \frac{211}{15} = 0

Subtract the numbers

More Steps

25 t^{2} - \frac{301}{15} = 0

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

25 t^{2} = 0 + \frac{301}{15}

Add the terms

25 t^{2} = \frac{301}{15}

Multiply by the reciprocal

25 t^{2} \times \frac{1}{25} = \frac{301}{15} \times \frac{1}{25}

Multiply

t^{2} = \frac{301}{15} \times \frac{1}{25}

Multiply

More Steps

t^{2} = \frac{301}{375}

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

t = \pm \frac{301}{375}

Simplify the expression

More Steps

t = \pm \frac{4515}{75}

Separate the equation into 2 possible cases

t = \frac{4515}{75} t = - \frac{4515}{75}

Solution

t_{1} = - \frac{4515}{75}, t_{2} = \frac{4515}{75}

Alternative Form

t_{1} \approx - 0.895917, t_{2} \approx 0.895917

Show Solution