Solve j^62133-2(2021)

Question

Simplify the expression

2133 j^{6} - 4042

Evaluate

j^{6} \times 2133 - 2 \times 2021

Use the commutative property to reorder the terms

2133 j^{6} - 2 \times 2021

Solution

2133 j^{6} - 4042

Show Solution

j_{1} = - \frac{6 4042 \times 213 3 ^{5}}{2133}, j_{2} = \frac{6 4042 \times 213 3 ^{5}}{2133}

Alternative Form

j_{1} \approx - 1.112417, j_{2} \approx 1.112417

Evaluate

j^{6} \times 2133 - 2 \times 2021

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

j^{6} \times 2133 - 2 \times 2021 = 0

Use the commutative property to reorder the terms

2133 j^{6} - 2 \times 2021 = 0

Multiply the numbers

2133 j^{6} - 4042 = 0

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

2133 j^{6} = 0 + 4042

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

2133 j^{6} = 4042

Divide both sides

\frac{2133 j ^{6}}{2133} = \frac{4042}{2133}

Divide the numbers

j^{6} = \frac{4042}{2133}

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

j = \pm 6 \frac{4042}{2133}

Simplify the expression

More Steps

Evaluate

6 \frac{4042}{2133}

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

\frac{6 4042}{6 2133}

Multiply by the Conjugate

\frac{6 4042 \times 6 213 3 ^{5}}{6 2133 \times 6 213 3 ^{5}}

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

\frac{6 4042 \times 213 3 ^{5}}{6 2133 \times 6 213 3 ^{5}}

Multiply the numbers

More Steps

Evaluate

62133 \times 6 213 3^{5}

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

6 2133 \times 213 3^{5}

Calculate the product

6 213 3^{6}

Reduce the index of the radical and exponent with 6

2133

\frac{6 4042 \times 213 3 ^{5}}{2133}

j = \pm \frac{6 4042 \times 213 3 ^{5}}{2133}

Separate the equation into 2 possible cases

j = \frac{6 4042 \times 213 3 ^{5}}{2133} j = - \frac{6 4042 \times 213 3 ^{5}}{2133}

Solution

j_{1} = - \frac{6 4042 \times 213 3 ^{5}}{2133}, j_{2} = \frac{6 4042 \times 213 3 ^{5}}{2133}

Alternative Form

j_{1} \approx - 1.112417, j_{2} \approx 1.112417

Show Solution