Solve 14x^2 11x-3

Question

Simplify the expression

154 x^{3} - 3

Evaluate

14 x^{2} \times 11 x - 3

Solution

More Steps

Evaluate

14 x^{2} \times 11 x

Multiply the terms

154 x^{2} \times x

Multiply the terms with the same base by adding their exponents

154 x^{2 + 1}

Add the numbers

154 x^{3}

154 x^{3} - 3

Show Solution

x = \frac{3 71148}{154}

Alternative Form

x \approx 0.269071

Evaluate

14 x^{2} \times 11 x - 3

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

14 x^{2} \times 11 x - 3 = 0

Multiply

More Steps

Multiply the terms

14 x^{2} \times 11 x

Multiply the terms

154 x^{2} \times x

Multiply the terms with the same base by adding their exponents

154 x^{2 + 1}

Add the numbers

154 x^{3}

154 x^{3} - 3 = 0

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

154 x^{3} = 0 + 3

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

154 x^{3} = 3

Divide both sides

\frac{154 x ^{3}}{154} = \frac{3}{154}

Divide the numbers

x^{3} = \frac{3}{154}

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

3 x^{3} = 3 \frac{3}{154}

Calculate

x = 3 \frac{3}{154}

Solution

More Steps

Evaluate

3 \frac{3}{154}

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

\frac{3 3}{3 154}

Multiply by the Conjugate

\frac{3 3 \times 3 15 4 ^{2}}{3 154 \times 3 15 4 ^{2}}

Simplify

\frac{3 3 \times 3 23716}{3 154 \times 3 15 4 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 323716

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

3 3 \times 23716

Calculate the product

371148

\frac{3 71148}{3 154 \times 3 15 4 ^{2}}

Multiply the numbers

More Steps

Evaluate

3154 \times 3 15 4^{2}

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

3 154 \times 15 4^{2}

Calculate the product

3 15 4^{3}

Reduce the index of the radical and exponent with 3

154

\frac{3 71148}{154}

x = \frac{3 71148}{154}

Alternative Form

x \approx 0.269071

Show Solution