Solve j^60598-12022

Question

Simplify the expression

598 j^{6} - 12022

Evaluate

j^{6} \times 598 - 12022

Solution

598 j^{6} - 12022

Show Solution

2 (299 j^{6} - 6011)

Evaluate

j^{6} \times 598 - 12022

Use the commutative property to reorder the terms

598 j^{6} - 12022

Solution

2 (299 j^{6} - 6011)

Show Solution

j_{1} = - \frac{6 6011 \times 29 9 ^{5}}{299}, j_{2} = \frac{6 6011 \times 29 9 ^{5}}{299}

Alternative Form

j_{1} \approx - 1.648969, j_{2} \approx 1.648969

Evaluate

j^{6} \times 598 - 12022

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

j^{6} \times 598 - 12022 = 0

Use the commutative property to reorder the terms

598 j^{6} - 12022 = 0

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

598 j^{6} = 0 + 12022

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

598 j^{6} = 12022

Divide both sides

\frac{598 j ^{6}}{598} = \frac{12022}{598}

Divide the numbers

j^{6} = \frac{12022}{598}

Cancel out the common factor 2

j^{6} = \frac{6011}{299}

Take the root of both sides of the equation and remember to use both positive and negative roots

j = \pm 6 \frac{6011}{299}

Simplify the expression

More Steps

Evaluate

6 \frac{6011}{299}

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

\frac{6 6011}{6 299}

Multiply by the Conjugate

\frac{6 6011 \times 6 29 9 ^{5}}{6 299 \times 6 29 9 ^{5}}

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

\frac{6 6011 \times 29 9 ^{5}}{6 299 \times 6 29 9 ^{5}}

Multiply the numbers

More Steps

Evaluate

6299 \times 6 29 9^{5}

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

6 299 \times 29 9^{5}

Calculate the product

6 29 9^{6}

Reduce the index of the radical and exponent with 6

299

\frac{6 6011 \times 29 9 ^{5}}{299}

j = \pm \frac{6 6011 \times 29 9 ^{5}}{299}

Separate the equation into 2 possible cases

j = \frac{6 6011 \times 29 9 ^{5}}{299} j = - \frac{6 6011 \times 29 9 ^{5}}{299}

Solution

j_{1} = - \frac{6 6011 \times 29 9 ^{5}}{299}, j_{2} = \frac{6 6011 \times 29 9 ^{5}}{299}

Alternative Form

j_{1} \approx - 1.648969, j_{2} \approx 1.648969

Show Solution