Solve j^217j-18 - ScanMath

Question

Simplify the expression

17 j^{3} - 18

Evaluate

j^{2} \times 17 j - 18

Solution

More Steps

Evaluate

j^{2} \times 17 j

Multiply the terms with the same base by adding their exponents

j^{2 + 1} \times 17

Add the numbers

j^{3} \times 17

Use the commutative property to reorder the terms

17 j^{3}

17 j^{3} - 18

Show Solution

j = \frac{3 5202}{17}

Alternative Form

j \approx 1.019235

Evaluate

j^{2} \times 17 j - 18

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

j^{2} \times 17 j - 18 = 0

Multiply

More Steps

Multiply the terms

j^{2} \times 17 j

Multiply the terms with the same base by adding their exponents

j^{2 + 1} \times 17

Add the numbers

j^{3} \times 17

Use the commutative property to reorder the terms

17 j^{3}

17 j^{3} - 18 = 0

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

17 j^{3} = 0 + 18

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

17 j^{3} = 18

Divide both sides

\frac{17 j ^{3}}{17} = \frac{18}{17}

Divide the numbers

j^{3} = \frac{18}{17}

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

3 j^{3} = 3 \frac{18}{17}

Calculate

j = 3 \frac{18}{17}

Solution

More Steps

Evaluate

3 \frac{18}{17}

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

\frac{3 18}{3 17}

Multiply by the Conjugate

\frac{3 18 \times 3 1 7 ^{2}}{3 17 \times 3 1 7 ^{2}}

Simplify

\frac{3 18 \times 3 289}{3 17 \times 3 1 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

318 \times 3289

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

3 18 \times 289

Calculate the product

35202

\frac{3 5202}{3 17 \times 3 1 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

317 \times 3 1 7^{2}

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

3 17 \times 1 7^{2}

Calculate the product

3 1 7^{3}

Reduce the index of the radical and exponent with 3

17

\frac{3 5202}{17}

j = \frac{3 5202}{17}

Alternative Form

j \approx 1.019235

Show Solution