Solve p^4620-60000

Question

Simplify the expression

620 p^{4} - 60000

Evaluate

p^{4} \times 620 - 60000

Solution

620 p^{4} - 60000

Show Solution

20 (31 p^{4} - 3000)

Evaluate

p^{4} \times 620 - 60000

Use the commutative property to reorder the terms

620 p^{4} - 60000

Solution

20 (31 p^{4} - 3000)

Show Solution

p_{1} = - \frac{4 89373000}{31}, p_{2} = \frac{4 89373000}{31}

Alternative Form

p_{1} \approx - 3.136461, p_{2} \approx 3.136461

Evaluate

p^{4} \times 620 - 60000

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

p^{4} \times 620 - 60000 = 0

Use the commutative property to reorder the terms

620 p^{4} - 60000 = 0

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

620 p^{4} = 0 + 60000

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

620 p^{4} = 60000

Divide both sides

\frac{620 p ^{4}}{620} = \frac{60000}{620}

Divide the numbers

p^{4} = \frac{60000}{620}

Cancel out the common factor 20

p^{4} = \frac{3000}{31}

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

p = \pm 4 \frac{3000}{31}

Simplify the expression

More Steps

Evaluate

4 \frac{3000}{31}

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

\frac{4 3000}{4 31}

Multiply by the Conjugate

\frac{4 3000 \times 4 3 1 ^{3}}{4 31 \times 4 3 1 ^{3}}

Simplify

\frac{4 3000 \times 4 29791}{4 31 \times 4 3 1 ^{3}}

Multiply the numbers

More Steps

Evaluate

43000 \times 429791

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

4 3000 \times 29791

Calculate the product

489373000

\frac{4 89373000}{4 31 \times 4 3 1 ^{3}}

Multiply the numbers

More Steps

Evaluate

431 \times 4 3 1^{3}

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

4 31 \times 3 1^{3}

Calculate the product

4 3 1^{4}

Reduce the index of the radical and exponent with 4

31

\frac{4 89373000}{31}

p = \pm \frac{4 89373000}{31}

Separate the equation into 2 possible cases

p = \frac{4 89373000}{31} p = - \frac{4 89373000}{31}

Solution

p_{1} = - \frac{4 89373000}{31}, p_{2} = \frac{4 89373000}{31}

Alternative Form

p_{1} \approx - 3.136461, p_{2} \approx 3.136461

Show Solution