Solve p^(2) 5p-36

Question

Simplify the expression

Solution

5 p^{3} - 36

Evaluate

p^{2} \times 5 p - 36

Solution

More Steps

Evaluate

p^{2} \times 5 p

Multiply the terms with the same base by adding their exponents

p^{2 + 1} \times 5

Add the numbers

p^{3} \times 5

Use the commutative property to reorder the terms

5 p^{3}

5 p^{3} - 36

Show Solution

Find the roots of the algebra expression

p = \frac{3 900}{5}

Alternative Form

p \approx 1.930979

Evaluate

p^{2} \times 5 p - 36

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

p^{2} \times 5 p - 36 = 0

Multiply

More Steps

Multiply the terms

p^{2} \times 5 p

Multiply the terms with the same base by adding their exponents

p^{2 + 1} \times 5

Add the numbers

p^{3} \times 5

Use the commutative property to reorder the terms

5 p^{3}

5 p^{3} - 36 = 0

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

5 p^{3} = 0 + 36

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

5 p^{3} = 36

Divide both sides

\frac{5 p ^{3}}{5} = \frac{36}{5}

Divide the numbers

p^{3} = \frac{36}{5}

Take the 3 -th root on both sides of the equation

3 p^{3} = 3 \frac{36}{5}

Calculate

p = 3 \frac{36}{5}

Solution

More Steps

Evaluate

3 \frac{36}{5}

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

\frac{3 36}{3 5}

Multiply by the Conjugate

\frac{3 36 \times 3 5 ^{2}}{3 5 \times 3 5 ^{2}}

Simplify

\frac{3 36 \times 3 25}{3 5 \times 3 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

336 \times 325

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

3 36 \times 25

Calculate the product

3900

\frac{3 900}{3 5 \times 3 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

35 \times 3 5^{2}

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

3 5 \times 5^{2}

Calculate the product

3 5^{3}

Reduce the index of the radical and exponent with 3

5

\frac{3 900}{5}

p = \frac{3 900}{5}

Alternative Form

p \approx 1.930979

Show Solution