Solve y^470-320000

Question

Simplify the expression

70 y^{4} - 320000

Show Solution

10 (7 y^{4} - 32000)

Show Solution

y_{1} = - \frac{4 4 42875}{7}, y_{2} = \frac{4 4 42875}{7}

Alternative Form

y_{1} \approx - 8.222672, y_{2} \approx 8.222672

Evaluate

y^{4} \times 70 - 320000

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

y^{4} \times 70 - 320000 = 0

Use the commutative property to reorder the terms

70 y^{4} - 320000 = 0

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

70 y^{4} = 0 + 320000

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

70 y^{4} = 320000

Divide both sides

\frac{70 y ^{4}}{70} = \frac{320000}{70}

Divide the numbers

y^{4} = \frac{320000}{70}

Cancel out the common factor 10

y^{4} = \frac{32000}{7}

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

y = \pm 4 \frac{32000}{7}

Simplify the expression

More Steps

y = \pm \frac{4 4 42875}{7}

Separate the equation into 2 possible cases

y = \frac{4 4 42875}{7} y = - \frac{4 4 42875}{7}

Solution

y_{1} = - \frac{4 4 42875}{7}, y_{2} = \frac{4 4 42875}{7}

Alternative Form

y_{1} \approx - 8.222672, y_{2} \approx 8.222672

Show Solution