Solve 88r^2 39r-10

Question

Simplify the expression

3432 r^{3} - 10

Evaluate

88 r^{2} \times 39 r - 10

Solution

More Steps

Evaluate

88 r^{2} \times 39 r

Multiply the terms

3432 r^{2} \times r

Multiply the terms with the same base by adding their exponents

3432 r^{2 + 1}

Add the numbers

3432 r^{3}

3432 r^{3} - 10

Show Solution

2 (1716 r^{3} - 5)

Evaluate

88 r^{2} \times 39 r - 10

Multiply

More Steps

Evaluate

88 r^{2} \times 39 r

Multiply the terms

3432 r^{2} \times r

Multiply the terms with the same base by adding their exponents

3432 r^{2 + 1}

Add the numbers

3432 r^{3}

3432 r^{3} - 10

Solution

2 (1716 r^{3} - 5)

Show Solution

r = \frac{3 5 \times 171 6 ^{2}}{1716}

Alternative Form

r \approx 0.142829

Evaluate

88 r^{2} \times 39 r - 10

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

88 r^{2} \times 39 r - 10 = 0

Multiply

More Steps

Multiply the terms

88 r^{2} \times 39 r

Multiply the terms

3432 r^{2} \times r

Multiply the terms with the same base by adding their exponents

3432 r^{2 + 1}

Add the numbers

3432 r^{3}

3432 r^{3} - 10 = 0

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

3432 r^{3} = 0 + 10

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

3432 r^{3} = 10

Divide both sides

\frac{3432 r ^{3}}{3432} = \frac{10}{3432}

Divide the numbers

r^{3} = \frac{10}{3432}

Cancel out the common factor 2

r^{3} = \frac{5}{1716}

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

3 r^{3} = 3 \frac{5}{1716}

Calculate

r = 3 \frac{5}{1716}

Solution

More Steps

Evaluate

3 \frac{5}{1716}

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

\frac{3 5}{3 1716}

Multiply by the Conjugate

\frac{3 5 \times 3 171 6 ^{2}}{3 1716 \times 3 171 6 ^{2}}

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

\frac{3 5 \times 171 6 ^{2}}{3 1716 \times 3 171 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

31716 \times 3 171 6^{2}

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

3 1716 \times 171 6^{2}

Calculate the product

3 171 6^{3}

Reduce the index of the radical and exponent with 3

1716

\frac{3 5 \times 171 6 ^{2}}{1716}

r = \frac{3 5 \times 171 6 ^{2}}{1716}

Alternative Form

r \approx 0.142829

Show Solution