Solve t^530-24-14

Question

Simplify the expression

30 t^{5} - 38

Evaluate

t^{5} \times 30 - 24 - 14

Use the commutative property to reorder the terms

30 t^{5} - 24 - 14

Solution

30 t^{5} - 38

Show Solution

2 (15 t^{5} - 19)

Evaluate

t^{5} \times 30 - 24 - 14

Use the commutative property to reorder the terms

30 t^{5} - 24 - 14

Subtract the numbers

30 t^{5} - 38

Solution

2 (15 t^{5} - 19)

Show Solution

t = \frac{5 961875}{15}

Alternative Form

t \approx 1.048413

Evaluate

t^{5} \times 30 - 24 - 14

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

t^{5} \times 30 - 24 - 14 = 0

Use the commutative property to reorder the terms

30 t^{5} - 24 - 14 = 0

Subtract the numbers

30 t^{5} - 38 = 0

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

30 t^{5} = 0 + 38

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

30 t^{5} = 38

Divide both sides

\frac{30 t ^{5}}{30} = \frac{38}{30}

Divide the numbers

t^{5} = \frac{38}{30}

Cancel out the common factor 2

t^{5} = \frac{19}{15}

Take the 5 -th root on both sides of the equation

5 t^{5} = 5 \frac{19}{15}

Calculate

t = 5 \frac{19}{15}

Solution

More Steps

Evaluate

5 \frac{19}{15}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{5 19}{5 15}

Multiply by the Conjugate

\frac{5 19 \times 5 1 5 ^{4}}{5 15 \times 5 1 5 ^{4}}

Simplify

\frac{5 19 \times 5 50625}{5 15 \times 5 1 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

519 \times 550625

The product of roots with the same index is equal to the root of the product

5 19 \times 50625

Calculate the product

5961875

\frac{5 961875}{5 15 \times 5 1 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

515 \times 5 1 5^{4}

The product of roots with the same index is equal to the root of the product

5 15 \times 1 5^{4}

Calculate the product

5 1 5^{5}

Reduce the index of the radical and exponent with 5

15

\frac{5 961875}{15}

t = \frac{5 961875}{15}

Alternative Form

t \approx 1.048413

Show Solution