Solve p^4050-5258-105720

Question

Simplify the expression

50 p^{4} - 110978

Evaluate

p^{4} \times 50 - 5258 - 105720

Use the commutative property to reorder the terms

50 p^{4} - 5258 - 105720

Solution

50 p^{4} - 110978

Show Solution

2 (25 p^{4} - 55489)

Evaluate

p^{4} \times 50 - 5258 - 105720

Use the commutative property to reorder the terms

50 p^{4} - 5258 - 105720

Subtract the numbers

50 p^{4} - 110978

Solution

2 (25 p^{4} - 55489)

Show Solution

p_{1} = - \frac{4 1387225}{5}, p_{2} = \frac{4 1387225}{5}

Alternative Form

p_{1} \approx - 6.863833, p_{2} \approx 6.863833

Evaluate

p^{4} \times 50 - 5258 - 105720

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

p^{4} \times 50 - 5258 - 105720 = 0

Use the commutative property to reorder the terms

50 p^{4} - 5258 - 105720 = 0

Subtract the numbers

50 p^{4} - 110978 = 0

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

50 p^{4} = 0 + 110978

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

50 p^{4} = 110978

Divide both sides

\frac{50 p ^{4}}{50} = \frac{110978}{50}

Divide the numbers

p^{4} = \frac{110978}{50}

Cancel out the common factor 2

p^{4} = \frac{55489}{25}

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

p = \pm 4 \frac{55489}{25}

Simplify the expression

More Steps

Evaluate

4 \frac{55489}{25}

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

\frac{4 55489}{4 25}

Simplify the radical expression

More Steps

Evaluate

425

Write the number in exponential form with the base of 5

4 5^{2}

Reduce the index of the radical and exponent with 2

5

\frac{4 55489}{5}

Multiply by the Conjugate

\frac{4 55489 \times 5}{5 \times 5}

Multiply the numbers

More Steps

Evaluate

455489 \times 5

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

455489 \times 4 5^{2}

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

4 55489 \times 5^{2}

Calculate the product

41387225

\frac{4 1387225}{5 \times 5}

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

\frac{4 1387225}{5}

p = \pm \frac{4 1387225}{5}

Separate the equation into 2 possible cases

p = \frac{4 1387225}{5} p = - \frac{4 1387225}{5}

Solution

p_{1} = - \frac{4 1387225}{5}, p_{2} = \frac{4 1387225}{5}

Alternative Form

p_{1} \approx - 6.863833, p_{2} \approx 6.863833

Show Solution