Solve dd^214-1 - ScanMath

Question

Simplify the expression

14 d^{3} - 1

Evaluate

d \times d^{2} \times 14 - 1

Solution

More Steps

Evaluate

d \times d^{2} \times 14

Multiply the terms with the same base by adding their exponents

d^{1 + 2} \times 14

Add the numbers

d^{3} \times 14

Use the commutative property to reorder the terms

14 d^{3}

14 d^{3} - 1

Show Solution

d = \frac{3 196}{14}

Alternative Form

d \approx 0.414913

Evaluate

d \times d^{2} \times 14 - 1

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

d \times d^{2} \times 14 - 1 = 0

Multiply

More Steps

Multiply the terms

d \times d^{2} \times 14

Multiply the terms with the same base by adding their exponents

d^{1 + 2} \times 14

Add the numbers

d^{3} \times 14

Use the commutative property to reorder the terms

14 d^{3}

14 d^{3} - 1 = 0

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

14 d^{3} = 0 + 1

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

14 d^{3} = 1

Divide both sides

\frac{14 d ^{3}}{14} = \frac{1}{14}

Divide the numbers

d^{3} = \frac{1}{14}

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

3 d^{3} = 3 \frac{1}{14}

Calculate

d = 3 \frac{1}{14}

Solution

More Steps

Evaluate

3 \frac{1}{14}

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

\frac{3 1}{3 14}

Simplify the radical expression

\frac{1}{3 14}

Multiply by the Conjugate

\frac{3 1 4 ^{2}}{3 14 \times 3 1 4 ^{2}}

Simplify

\frac{3 196}{3 14 \times 3 1 4 ^{2}}

Multiply the numbers

More Steps

Evaluate

314 \times 3 1 4^{2}

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

3 14 \times 1 4^{2}

Calculate the product

3 1 4^{3}

Reduce the index of the radical and exponent with 3

14

\frac{3 196}{14}

d = \frac{3 196}{14}

Alternative Form

d \approx 0.414913

Show Solution