Solve 10x^2 7x-1 - ScanMath

Question

Simplify the expression

70 x^{3} - 1

Evaluate

10 x^{2} \times 7 x - 1

Solution

More Steps

Evaluate

10 x^{2} \times 7 x

Multiply the terms

70 x^{2} \times x

Multiply the terms with the same base by adding their exponents

70 x^{2 + 1}

Add the numbers

70 x^{3}

70 x^{3} - 1

Show Solution

x = \frac{3 4900}{70}

Alternative Form

x \approx 0.242643

Evaluate

10 x^{2} \times 7 x - 1

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

10 x^{2} \times 7 x - 1 = 0

Multiply

More Steps

Multiply the terms

10 x^{2} \times 7 x

Multiply the terms

70 x^{2} \times x

Multiply the terms with the same base by adding their exponents

70 x^{2 + 1}

Add the numbers

70 x^{3}

70 x^{3} - 1 = 0

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

70 x^{3} = 0 + 1

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

70 x^{3} = 1

Divide both sides

\frac{70 x ^{3}}{70} = \frac{1}{70}

Divide the numbers

x^{3} = \frac{1}{70}

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

3 x^{3} = 3 \frac{1}{70}

Calculate

x = 3 \frac{1}{70}

Solution

More Steps

Evaluate

3 \frac{1}{70}

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

\frac{3 1}{3 70}

Simplify the radical expression

\frac{1}{3 70}

Multiply by the Conjugate

\frac{3 7 0 ^{2}}{3 70 \times 3 7 0 ^{2}}

Simplify

\frac{3 4900}{3 70 \times 3 7 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

370 \times 3 7 0^{2}

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

3 70 \times 7 0^{2}

Calculate the product

3 7 0^{3}

Reduce the index of the radical and exponent with 3

70

\frac{3 4900}{70}

x = \frac{3 4900}{70}

Alternative Form

x \approx 0.242643

Show Solution