Solve w^5621-2w - ScanMath

Question

Simplify the expression

621 w^{5} - 2 w

Evaluate

w^{5} \times 621 - 2 w

Solution

621 w^{5} - 2 w

Show Solution

w (621 w^{4} - 2)

Evaluate

w^{5} \times 621 - 2 w

Use the commutative property to reorder the terms

621 w^{5} - 2 w

Rewrite the expression

w \times 621 w^{4} - w \times 2

Solution

w (621 w^{4} - 2)

Show Solution

w_{1} = - \frac{4 2 \times 62 1 ^{3}}{621}, w_{2} = 0, w_{3} = \frac{4 2 \times 62 1 ^{3}}{621}

Alternative Form

w_{1} \approx - 0.238223, w_{2} = 0, w_{3} \approx 0.238223

Evaluate

w^{5} \times 621 - 2 w

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

w^{5} \times 621 - 2 w = 0

Use the commutative property to reorder the terms

621 w^{5} - 2 w = 0

Factor the expression

w (621 w^{4} - 2) = 0

Separate the equation into 2 possible cases

w = 0 621 w^{4} - 2 = 0

Solve the equation

More Steps

Evaluate

621 w^{4} - 2 = 0

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

621 w^{4} = 0 + 2

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

621 w^{4} = 2

Divide both sides

\frac{621 w ^{4}}{621} = \frac{2}{621}

Divide the numbers

w^{4} = \frac{2}{621}

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

w = \pm 4 \frac{2}{621}

Simplify the expression

More Steps

Evaluate

4 \frac{2}{621}

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

\frac{4 2}{4 621}

Multiply by the Conjugate

\frac{4 2 \times 4 62 1 ^{3}}{4 621 \times 4 62 1 ^{3}}

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

\frac{4 2 \times 62 1 ^{3}}{4 621 \times 4 62 1 ^{3}}

Multiply the numbers

\frac{4 2 \times 62 1 ^{3}}{621}

w = \pm \frac{4 2 \times 62 1 ^{3}}{621}

Separate the equation into 2 possible cases

w = \frac{4 2 \times 62 1 ^{3}}{621} w = - \frac{4 2 \times 62 1 ^{3}}{621}

w = 0 w = \frac{4 2 \times 62 1 ^{3}}{621} w = - \frac{4 2 \times 62 1 ^{3}}{621}

Solution

w_{1} = - \frac{4 2 \times 62 1 ^{3}}{621}, w_{2} = 0, w_{3} = \frac{4 2 \times 62 1 ^{3}}{621}

Alternative Form

w_{1} \approx - 0.238223, w_{2} = 0, w_{3} \approx 0.238223

Show Solution