Solve 1050t^3-18 - ScanMath

Question

Factor the expression

6 (175 t^{3} - 3)

Evaluate

1050 t^{3} - 18

Solution

6 (175 t^{3} - 3)

Show Solution

t = \frac{3 735}{35}

Alternative Form

t \approx 0.257846

Evaluate

1050 t^{3} - 18

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

1050 t^{3} - 18 = 0

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

1050 t^{3} = 0 + 18

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

1050 t^{3} = 18

Divide both sides

\frac{1050 t ^{3}}{1050} = \frac{18}{1050}

Divide the numbers

t^{3} = \frac{18}{1050}

Cancel out the common factor 6

t^{3} = \frac{3}{175}

Take the 3 -th root on both sides of the equation

3 t^{3} = 3 \frac{3}{175}

Calculate

t = 3 \frac{3}{175}

Solution

More Steps

Evaluate

3 \frac{3}{175}

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

\frac{3 3}{3 175}

Multiply by the Conjugate

\frac{3 3 \times 3 17 5 ^{2}}{3 175 \times 3 17 5 ^{2}}

Simplify

\frac{3 3 \times 5 3 245}{3 175 \times 3 17 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 53245

Multiply the terms

3735 \times 5

Use the commutative property to reorder the terms

53735

\frac{5 3 735}{3 175 \times 3 17 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

3175 \times 3 17 5^{2}

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

3 175 \times 17 5^{2}

Calculate the product

3 17 5^{3}

Reduce the index of the radical and exponent with 3

175

\frac{5 3 735}{175}

Cancel out the common factor 5

\frac{3 735}{35}

t = \frac{3 735}{35}

Alternative Form

t \approx 0.257846

Show Solution