Solve p^41800-20002162

Question

Simplify the expression

1800 p^{4} - 20002162

Evaluate

p^{4} \times 1800 - 20002162

Solution

1800 p^{4} - 20002162

Show Solution

2 (900 p^{4} - 10001081)

Evaluate

p^{4} \times 1800 - 20002162

Use the commutative property to reorder the terms

1800 p^{4} - 20002162

Solution

2 (900 p^{4} - 10001081)

Show Solution

p_{1} = - \frac{4 9000972900}{30}, p_{2} = \frac{4 9000972900}{30}

Alternative Form

p_{1} \approx - 10.267178, p_{2} \approx 10.267178

Evaluate

p^{4} \times 1800 - 20002162

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

p^{4} \times 1800 - 20002162 = 0

Use the commutative property to reorder the terms

1800 p^{4} - 20002162 = 0

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

1800 p^{4} = 0 + 20002162

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

1800 p^{4} = 20002162

Divide both sides

\frac{1800 p ^{4}}{1800} = \frac{20002162}{1800}

Divide the numbers

p^{4} = \frac{20002162}{1800}

Cancel out the common factor 2

p^{4} = \frac{10001081}{900}

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

p = \pm 4 \frac{10001081}{900}

Simplify the expression

More Steps

Evaluate

4 \frac{10001081}{900}

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

\frac{4 10001081}{4 900}

Simplify the radical expression

\frac{4 10001081}{30}

Multiply by the Conjugate

\frac{4 10001081 \times 30}{30 \times 30}

Multiply the numbers

More Steps

Evaluate

410001081 \times 30

Use n a = mn a^{m} to expand the expression

410001081 \times 4 3 0^{2}

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

4 10001081 \times 3 0^{2}

Calculate the product

49000972900

\frac{4 9000972900}{30 \times 30}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{4 9000972900}{30}

p = \pm \frac{4 9000972900}{30}

Separate the equation into 2 possible cases

p = \frac{4 9000972900}{30} p = - \frac{4 9000972900}{30}

Solution

p_{1} = - \frac{4 9000972900}{30}, p_{2} = \frac{4 9000972900}{30}

Alternative Form

p_{1} \approx - 10.267178, p_{2} \approx 10.267178

Show Solution