Solve 5x^2 34x-7 - ScanMath

Question

Simplify the expression

170 x^{3} - 7

Evaluate

5 x^{2} \times 34 x - 7

Solution

More Steps

Evaluate

5 x^{2} \times 34 x

Multiply the terms

170 x^{2} \times x

Multiply the terms with the same base by adding their exponents

170 x^{2 + 1}

Add the numbers

170 x^{3}

170 x^{3} - 7

Show Solution

x = \frac{3 202300}{170}

Alternative Form

x \approx 0.345316

Evaluate

5 x^{2} \times 34 x - 7

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

5 x^{2} \times 34 x - 7 = 0

Multiply

More Steps

Multiply the terms

5 x^{2} \times 34 x

Multiply the terms

170 x^{2} \times x

Multiply the terms with the same base by adding their exponents

170 x^{2 + 1}

Add the numbers

170 x^{3}

170 x^{3} - 7 = 0

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

170 x^{3} = 0 + 7

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

170 x^{3} = 7

Divide both sides

\frac{170 x ^{3}}{170} = \frac{7}{170}

Divide the numbers

x^{3} = \frac{7}{170}

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

3 x^{3} = 3 \frac{7}{170}

Calculate

x = 3 \frac{7}{170}

Solution

More Steps

Evaluate

3 \frac{7}{170}

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

\frac{3 7}{3 170}

Multiply by the Conjugate

\frac{3 7 \times 3 17 0 ^{2}}{3 170 \times 3 17 0 ^{2}}

Simplify

\frac{3 7 \times 3 28900}{3 170 \times 3 17 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

37 \times 328900

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

3 7 \times 28900

Calculate the product

3202300

\frac{3 202300}{3 170 \times 3 17 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

3170 \times 3 17 0^{2}

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

3 170 \times 17 0^{2}

Calculate the product

3 17 0^{3}

Reduce the index of the radical and exponent with 3

170

\frac{3 202300}{170}

x = \frac{3 202300}{170}

Alternative Form

x \approx 0.345316

Show Solution