Solve 14x^217x-6 - ScanMath

Question

Simplify the expression

238 x^{3} - 6

Evaluate

14 x^{2} \times 17 x - 6

Solution

More Steps

Evaluate

14 x^{2} \times 17 x

Multiply the terms

238 x^{2} \times x

Multiply the terms with the same base by adding their exponents

238 x^{2 + 1}

Add the numbers

238 x^{3}

238 x^{3} - 6

Show Solution

Factor the expression

2 (119 x^{3} - 3)

Evaluate

14 x^{2} \times 17 x - 6

Multiply

More Steps

Evaluate

14 x^{2} \times 17 x

Multiply the terms

238 x^{2} \times x

Multiply the terms with the same base by adding their exponents

238 x^{2 + 1}

Add the numbers

238 x^{3}

238 x^{3} - 6

Solution

2 (119 x^{3} - 3)

Show Solution

Find the roots

x = \frac{3 42483}{119}

Alternative Form

x \approx 0.293219

Evaluate

14 x^{2} \times 17 x - 6

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

14 x^{2} \times 17 x - 6 = 0

Multiply

More Steps

Multiply the terms

14 x^{2} \times 17 x

Multiply the terms

238 x^{2} \times x

Multiply the terms with the same base by adding their exponents

238 x^{2 + 1}

Add the numbers

238 x^{3}

238 x^{3} - 6 = 0

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

238 x^{3} = 0 + 6

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

238 x^{3} = 6

Divide both sides

\frac{238 x ^{3}}{238} = \frac{6}{238}

Divide the numbers

x^{3} = \frac{6}{238}

Cancel out the common factor 2

x^{3} = \frac{3}{119}

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

3 x^{3} = 3 \frac{3}{119}

Calculate

x = 3 \frac{3}{119}

Solution

More Steps

Evaluate

3 \frac{3}{119}

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

\frac{3 3}{3 119}

Multiply by the Conjugate

\frac{3 3 \times 3 11 9 ^{2}}{3 119 \times 3 11 9 ^{2}}

Simplify

\frac{3 3 \times 3 14161}{3 119 \times 3 11 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 314161

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

3 3 \times 14161

Calculate the product

342483

\frac{3 42483}{3 119 \times 3 11 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

3119 \times 3 11 9^{2}

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

3 119 \times 11 9^{2}

Calculate the product

3 11 9^{3}

Reduce the index of the radical and exponent with 3

119

\frac{3 42483}{119}

x = \frac{3 42483}{119}

Alternative Form

x \approx 0.293219

Show Solution