Solve p^4388-60006

Question

Simplify the expression

388 p^{4} - 60006

Evaluate

p^{4} \times 388 - 60006

Solution

388 p^{4} - 60006

Show Solution

2 (194 p^{4} - 30003)

Evaluate

p^{4} \times 388 - 60006

Use the commutative property to reorder the terms

388 p^{4} - 60006

Solution

2 (194 p^{4} - 30003)

Show Solution

p_{1} = - \frac{4 30003 \times 19 4 ^{3}}{194}, p_{2} = \frac{4 30003 \times 19 4 ^{3}}{194}

Alternative Form

p_{1} \approx - 3.526474, p_{2} \approx 3.526474

Evaluate

p^{4} \times 388 - 60006

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

p^{4} \times 388 - 60006 = 0

Use the commutative property to reorder the terms

388 p^{4} - 60006 = 0

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

388 p^{4} = 0 + 60006

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

388 p^{4} = 60006

Divide both sides

\frac{388 p ^{4}}{388} = \frac{60006}{388}

Divide the numbers

p^{4} = \frac{60006}{388}

Cancel out the common factor 2

p^{4} = \frac{30003}{194}

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

p = \pm 4 \frac{30003}{194}

Simplify the expression

More Steps

Evaluate

4 \frac{30003}{194}

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

\frac{4 30003}{4 194}

Multiply by the Conjugate

\frac{4 30003 \times 4 19 4 ^{3}}{4 194 \times 4 19 4 ^{3}}

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

\frac{4 30003 \times 19 4 ^{3}}{4 194 \times 4 19 4 ^{3}}

Multiply the numbers

More Steps

Evaluate

4194 \times 4 19 4^{3}

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

4 194 \times 19 4^{3}

Calculate the product

4 19 4^{4}

Reduce the index of the radical and exponent with 4

194

\frac{4 30003 \times 19 4 ^{3}}{194}

p = \pm \frac{4 30003 \times 19 4 ^{3}}{194}

Separate the equation into 2 possible cases

p = \frac{4 30003 \times 19 4 ^{3}}{194} p = - \frac{4 30003 \times 19 4 ^{3}}{194}

Solution

p_{1} = - \frac{4 30003 \times 19 4 ^{3}}{194}, p_{2} = \frac{4 30003 \times 19 4 ^{3}}{194}

Alternative Form

p_{1} \approx - 3.526474, p_{2} \approx 3.526474

Show Solution