Solve p^32p-20 - ScanMath

Question

Simplify the expression

2 p^{4} - 20

Evaluate

p^{3} \times 2 p - 20

Solution

More Steps

Evaluate

p^{3} \times 2 p

Multiply the terms with the same base by adding their exponents

p^{3 + 1} \times 2

Add the numbers

p^{4} \times 2

Use the commutative property to reorder the terms

2 p^{4}

2 p^{4} - 20

Show Solution

2 (p^{4} - 10)

Evaluate

p^{3} \times 2 p - 20

Multiply

More Steps

Evaluate

p^{3} \times 2 p

Multiply the terms with the same base by adding their exponents

p^{3 + 1} \times 2

Add the numbers

p^{4} \times 2

Use the commutative property to reorder the terms

2 p^{4}

2 p^{4} - 20

Solution

2 (p^{4} - 10)

Show Solution

p_{1} = - 410, p_{2} = 410

Alternative Form

p_{1} \approx - 1.778279, p_{2} \approx 1.778279

Evaluate

p^{3} \times 2 p - 20

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

p^{3} \times 2 p - 20 = 0

Multiply

More Steps

Multiply the terms

p^{3} \times 2 p

Multiply the terms with the same base by adding their exponents

p^{3 + 1} \times 2

Add the numbers

p^{4} \times 2

Use the commutative property to reorder the terms

2 p^{4}

2 p^{4} - 20 = 0

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

2 p^{4} = 0 + 20

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

2 p^{4} = 20

Divide both sides

\frac{2 p ^{4}}{2} = \frac{20}{2}

Divide the numbers

p^{4} = \frac{20}{2}

Divide the numbers

More Steps

Evaluate

\frac{20}{2}

Reduce the numbers

\frac{10}{1}

Calculate

10

p^{4} = 10

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

p = \pm 410

Separate the equation into 2 possible cases

p = 410 p = - 410

Solution

p_{1} = - 410, p_{2} = 410

Alternative Form

p_{1} \approx - 1.778279, p_{2} \approx 1.778279

Show Solution