Solve 11x^236x-16=0

Question

Solve the equation

x = \frac{3 1452}{33}

Alternative Form

x \approx 0.343143

Evaluate

11 x^{2} \times 36 x - 16 = 0

Multiply

More Steps

Evaluate

11 x^{2} \times 36 x

Multiply the terms

396 x^{2} \times x

Multiply the terms with the same base by adding their exponents

396 x^{2 + 1}

Add the numbers

396 x^{3}

396 x^{3} - 16 = 0

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

396 x^{3} = 0 + 16

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

396 x^{3} = 16

Divide both sides

\frac{396 x ^{3}}{396} = \frac{16}{396}

Divide the numbers

x^{3} = \frac{16}{396}

Cancel out the common factor 4

x^{3} = \frac{4}{99}

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

3 x^{3} = 3 \frac{4}{99}

Calculate

x = 3 \frac{4}{99}

Solution

More Steps

Evaluate

3 \frac{4}{99}

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

\frac{3 4}{3 99}

Multiply by the Conjugate

\frac{3 4 \times 3 9 9 ^{2}}{3 99 \times 3 9 9 ^{2}}

Simplify

\frac{3 4 \times 3 3 363}{3 99 \times 3 9 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

34 \times 33363

Multiply the terms

31452 \times 3

Use the commutative property to reorder the terms

331452

\frac{3 3 1452}{3 99 \times 3 9 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

399 \times 3 9 9^{2}

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

3 99 \times 9 9^{2}

Calculate the product

3 9 9^{3}

Reduce the index of the radical and exponent with 3

99

\frac{3 3 1452}{99}

Cancel out the common factor 3

\frac{3 1452}{33}

x = \frac{3 1452}{33}

Alternative Form

x \approx 0.343143

Show Solution