Solve d^3814-2-0 - ScanMath

Question

Simplify the expression

814 d^{3} - 2

Evaluate

d^{3} \times 814 - 2 - 0

Use the commutative property to reorder the terms

814 d^{3} - 2 - 0

Solution

814 d^{3} - 2

Show Solution

2 (407 d^{3} - 1)

Evaluate

d^{3} \times 814 - 2 - 0

Use the commutative property to reorder the terms

814 d^{3} - 2 - 0

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

814 d^{3} - 2

Solution

2 (407 d^{3} - 1)

Show Solution

d = \frac{3 40 7 ^{2}}{407}

Alternative Form

d \approx 0.134938

Evaluate

d^{3} \times 814 - 2 - 0

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

d^{3} \times 814 - 2 - 0 = 0

Use the commutative property to reorder the terms

814 d^{3} - 2 - 0 = 0

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

814 d^{3} - 2 = 0

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

814 d^{3} = 0 + 2

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

814 d^{3} = 2

Divide both sides

\frac{814 d ^{3}}{814} = \frac{2}{814}

Divide the numbers

d^{3} = \frac{2}{814}

Cancel out the common factor 2

d^{3} = \frac{1}{407}

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

3 d^{3} = 3 \frac{1}{407}

Calculate

d = 3 \frac{1}{407}

Solution

More Steps

Evaluate

3 \frac{1}{407}

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

\frac{3 1}{3 407}

Simplify the radical expression

\frac{1}{3 407}

Multiply by the Conjugate

\frac{3 40 7 ^{2}}{3 407 \times 3 40 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

3407 \times 3 40 7^{2}

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

3 407 \times 40 7^{2}

Calculate the product

3 40 7^{3}

Reduce the index of the radical and exponent with 3

407

\frac{3 40 7 ^{2}}{407}

d = \frac{3 40 7 ^{2}}{407}

Alternative Form

d \approx 0.134938

Show Solution