Solve 7x^2 26x-5 - ScanMath

Question

Simplify the expression

182 x^{3} - 5

Evaluate

7 x^{2} \times 26 x - 5

Solution

More Steps

Evaluate

7 x^{2} \times 26 x

Multiply the terms

182 x^{2} \times x

Multiply the terms with the same base by adding their exponents

182 x^{2 + 1}

Add the numbers

182 x^{3}

182 x^{3} - 5

Show Solution

x = \frac{3 165620}{182}

Alternative Form

x \approx 0.30174

Evaluate

7 x^{2} \times 26 x - 5

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

7 x^{2} \times 26 x - 5 = 0

Multiply

More Steps

Multiply the terms

7 x^{2} \times 26 x

Multiply the terms

182 x^{2} \times x

Multiply the terms with the same base by adding their exponents

182 x^{2 + 1}

Add the numbers

182 x^{3}

182 x^{3} - 5 = 0

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

182 x^{3} = 0 + 5

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

182 x^{3} = 5

Divide both sides

\frac{182 x ^{3}}{182} = \frac{5}{182}

Divide the numbers

x^{3} = \frac{5}{182}

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

3 x^{3} = 3 \frac{5}{182}

Calculate

x = 3 \frac{5}{182}

Solution

More Steps

Evaluate

3 \frac{5}{182}

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

\frac{3 5}{3 182}

Multiply by the Conjugate

\frac{3 5 \times 3 18 2 ^{2}}{3 182 \times 3 18 2 ^{2}}

Simplify

\frac{3 5 \times 3 33124}{3 182 \times 3 18 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

35 \times 333124

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

3 5 \times 33124

Calculate the product

3165620

\frac{3 165620}{3 182 \times 3 18 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

3182 \times 3 18 2^{2}

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

3 182 \times 18 2^{2}

Calculate the product

3 18 2^{3}

Reduce the index of the radical and exponent with 3

182

\frac{3 165620}{182}

x = \frac{3 165620}{182}

Alternative Form

x \approx 0.30174

Show Solution