Solve j-j^58 - ScanMath

Question

Simplify the expression

j - 8 j^{5}

Evaluate

j - j^{5} \times 8

Solution

j - 8 j^{5}

Show Solution

j (1 - 8 j^{4})

Evaluate

j - j^{5} \times 8

Use the commutative property to reorder the terms

j - 8 j^{5}

Rewrite the expression

j - j \times 8 j^{4}

Solution

j (1 - 8 j^{4})

Show Solution

j_{1} = - \frac{4 2}{2}, j_{2} = 0, j_{3} = \frac{4 2}{2}

Alternative Form

j_{1} \approx - 0.594604, j_{2} = 0, j_{3} \approx 0.594604

Evaluate

j - j^{5} \times 8

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

j - j^{5} \times 8 = 0

Use the commutative property to reorder the terms

j - 8 j^{5} = 0

Factor the expression

j (1 - 8 j^{4}) = 0

Separate the equation into 2 possible cases

j = 0 1 - 8 j^{4} = 0

Solve the equation

More Steps

Evaluate

1 - 8 j^{4} = 0

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

- 8 j^{4} = 0 - 1

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

- 8 j^{4} = - 1

Change the signs on both sides of the equation

8 j^{4} = 1

Divide both sides

\frac{8 j ^{4}}{8} = \frac{1}{8}

Divide the numbers

j^{4} = \frac{1}{8}

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

j = \pm 4 \frac{1}{8}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{8}

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

\frac{4 1}{4 8}

Simplify the radical expression

\frac{1}{4 8}

Multiply by the Conjugate

\frac{4 8 ^{3}}{4 8 \times 4 8 ^{3}}

Simplify

\frac{2 ^{2} 4 2}{4 8 \times 4 8 ^{3}}

Multiply the numbers

\frac{2 ^{2} 4 2}{2 ^{3}}

Reduce the fraction

\frac{4 2}{2}

j = \pm \frac{4 2}{2}

Separate the equation into 2 possible cases

j = \frac{4 2}{2} j = - \frac{4 2}{2}

j = 0 j = \frac{4 2}{2} j = - \frac{4 2}{2}

Solution

j_{1} = - \frac{4 2}{2}, j_{2} = 0, j_{3} = \frac{4 2}{2}

Alternative Form

j_{1} \approx - 0.594604, j_{2} = 0, j_{3} \approx 0.594604

Show Solution