Solve 6x^211x-35 - ScanMath

Question

Simplify the expression

66 x^{3} - 35

Evaluate

6 x^{2} \times 11 x - 35

Solution

More Steps

Evaluate

6 x^{2} \times 11 x

Multiply the terms

66 x^{2} \times x

Multiply the terms with the same base by adding their exponents

66 x^{2 + 1}

Add the numbers

66 x^{3}

66 x^{3} - 35

Show Solution

x = \frac{3 152460}{66}

Alternative Form

x \approx 0.809421

Evaluate

6 x^{2} \times 11 x - 35

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

6 x^{2} \times 11 x - 35 = 0

Multiply

More Steps

Multiply the terms

6 x^{2} \times 11 x

Multiply the terms

66 x^{2} \times x

Multiply the terms with the same base by adding their exponents

66 x^{2 + 1}

Add the numbers

66 x^{3}

66 x^{3} - 35 = 0

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

66 x^{3} = 0 + 35

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

66 x^{3} = 35

Divide both sides

\frac{66 x ^{3}}{66} = \frac{35}{66}

Divide the numbers

x^{3} = \frac{35}{66}

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

3 x^{3} = 3 \frac{35}{66}

Calculate

x = 3 \frac{35}{66}

Solution

More Steps

Evaluate

3 \frac{35}{66}

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

\frac{3 35}{3 66}

Multiply by the Conjugate

\frac{3 35 \times 3 6 6 ^{2}}{3 66 \times 3 6 6 ^{2}}

Simplify

\frac{3 35 \times 3 4356}{3 66 \times 3 6 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

335 \times 34356

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

3 35 \times 4356

Calculate the product

3152460

\frac{3 152460}{3 66 \times 3 6 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

366 \times 3 6 6^{2}

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

3 66 \times 6 6^{2}

Calculate the product

3 6 6^{3}

Reduce the index of the radical and exponent with 3

66

\frac{3 152460}{66}

x = \frac{3 152460}{66}

Alternative Form

x \approx 0.809421

Show Solution