Solve p^350051-9-30

Question

Simplify the expression

50051 p^{3} - 39

Evaluate

p^{3} \times 50051 - 9 - 30

Use the commutative property to reorder the terms

50051 p^{3} - 9 - 30

Solution

50051 p^{3} - 39

Show Solution

p = \frac{3 39 \times 5005 1 ^{2}}{50051}

Alternative Form

p \approx 0.09202

Evaluate

p^{3} \times 50051 - 9 - 30

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

p^{3} \times 50051 - 9 - 30 = 0

Use the commutative property to reorder the terms

50051 p^{3} - 9 - 30 = 0

Subtract the numbers

50051 p^{3} - 39 = 0

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

50051 p^{3} = 0 + 39

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

50051 p^{3} = 39

Divide both sides

\frac{50051 p ^{3}}{50051} = \frac{39}{50051}

Divide the numbers

p^{3} = \frac{39}{50051}

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

3 p^{3} = 3 \frac{39}{50051}

Calculate

p = 3 \frac{39}{50051}

Solution

More Steps

Evaluate

3 \frac{39}{50051}

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

\frac{3 39}{3 50051}

Multiply by the Conjugate

\frac{3 39 \times 3 5005 1 ^{2}}{3 50051 \times 3 5005 1 ^{2}}

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

\frac{3 39 \times 5005 1 ^{2}}{3 50051 \times 3 5005 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

350051 \times 3 5005 1^{2}

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

3 50051 \times 5005 1^{2}

Calculate the product

3 5005 1^{3}

Reduce the index of the radical and exponent with 3

50051

\frac{3 39 \times 5005 1 ^{2}}{50051}

p = \frac{3 39 \times 5005 1 ^{2}}{50051}

Alternative Form

p \approx 0.09202

Show Solution