Solve 10x^2 74x-48=0

Question

Solve the equation

x = \frac{3 410700}{185}

Alternative Form

x \approx 0.401794

Evaluate

10 x^{2} \times 74 x - 48 = 0

Multiply

More Steps

Evaluate

10 x^{2} \times 74 x

Multiply the terms

740 x^{2} \times x

Multiply the terms with the same base by adding their exponents

740 x^{2 + 1}

Add the numbers

740 x^{3}

740 x^{3} - 48 = 0

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

740 x^{3} = 0 + 48

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

740 x^{3} = 48

Divide both sides

\frac{740 x ^{3}}{740} = \frac{48}{740}

Divide the numbers

x^{3} = \frac{48}{740}

Cancel out the common factor 4

x^{3} = \frac{12}{185}

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

3 x^{3} = 3 \frac{12}{185}

Calculate

x = 3 \frac{12}{185}

Solution

More Steps

Evaluate

3 \frac{12}{185}

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

\frac{3 12}{3 185}

Multiply by the Conjugate

\frac{3 12 \times 3 18 5 ^{2}}{3 185 \times 3 18 5 ^{2}}

Simplify

\frac{3 12 \times 3 34225}{3 185 \times 3 18 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

312 \times 334225

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

3 12 \times 34225

Calculate the product

3410700

\frac{3 410700}{3 185 \times 3 18 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

3185 \times 3 18 5^{2}

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

3 185 \times 18 5^{2}

Calculate the product

3 18 5^{3}

Reduce the index of the radical and exponent with 3

185

\frac{3 410700}{185}

x = \frac{3 410700}{185}

Alternative Form

x \approx 0.401794

Show Solution