Solve x^2 14x - 527

Question

Simplify the expression

14 x^{3} - 527

Evaluate

x^{2} \times 14 x - 527

Solution

More Steps

Evaluate

x^{2} \times 14 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 14

Add the numbers

x^{3} \times 14

Use the commutative property to reorder the terms

14 x^{3}

14 x^{3} - 527

Show Solution

x = \frac{3 103292}{14}

Alternative Form

x \approx 3.35141

Evaluate

x^{2} \times 14 x - 527

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

x^{2} \times 14 x - 527 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 14 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 14

Add the numbers

x^{3} \times 14

Use the commutative property to reorder the terms

14 x^{3}

14 x^{3} - 527 = 0

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

14 x^{3} = 0 + 527

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

14 x^{3} = 527

Divide both sides

\frac{14 x ^{3}}{14} = \frac{527}{14}

Divide the numbers

x^{3} = \frac{527}{14}

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

3 x^{3} = 3 \frac{527}{14}

Calculate

x = 3 \frac{527}{14}

Solution

More Steps

Evaluate

3 \frac{527}{14}

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

\frac{3 527}{3 14}

Multiply by the Conjugate

\frac{3 527 \times 3 1 4 ^{2}}{3 14 \times 3 1 4 ^{2}}

Simplify

\frac{3 527 \times 3 196}{3 14 \times 3 1 4 ^{2}}

Multiply the numbers

More Steps

Evaluate

3527 \times 3196

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

3 527 \times 196

Calculate the product

3103292

\frac{3 103292}{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 103292}{14}

x = \frac{3 103292}{14}

Alternative Form

x \approx 3.35141

Show Solution