Solve p^304856-p - ScanMath

Question

Simplify the expression

4856 p^{3} - p

Evaluate

p^{3} \times 4856 - p

Solution

4856 p^{3} - p

Show Solution

p (4856 p^{2} - 1)

Evaluate

p^{3} \times 4856 - p

Use the commutative property to reorder the terms

4856 p^{3} - p

Rewrite the expression

p \times 4856 p^{2} - p

Solution

p (4856 p^{2} - 1)

Show Solution

p_{1} = - \frac{1214}{2428}, p_{2} = 0, p_{3} = \frac{1214}{2428}

Alternative Form

p_{1} \approx - 0.01435, p_{2} = 0, p_{3} \approx 0.01435

Evaluate

p^{3} \times 4856 - p

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

p^{3} \times 4856 - p = 0

Use the commutative property to reorder the terms

4856 p^{3} - p = 0

Factor the expression

p (4856 p^{2} - 1) = 0

Separate the equation into 2 possible cases

p = 0 4856 p^{2} - 1 = 0

Solve the equation

More Steps

Evaluate

4856 p^{2} - 1 = 0

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

4856 p^{2} = 0 + 1

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

4856 p^{2} = 1

Divide both sides

\frac{4856 p ^{2}}{4856} = \frac{1}{4856}

Divide the numbers

p^{2} = \frac{1}{4856}

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

p = \pm \frac{1}{4856}

Simplify the expression

More Steps

Evaluate

\frac{1}{4856}

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

\frac{1}{4856}

Simplify the radical expression

\frac{1}{4856}

Simplify the radical expression

\frac{1}{2 1214}

Multiply by the Conjugate

\frac{1214}{2 1214 \times 1214}

Multiply the numbers

\frac{1214}{2428}

p = \pm \frac{1214}{2428}

Separate the equation into 2 possible cases

p = \frac{1214}{2428} p = - \frac{1214}{2428}

p = 0 p = \frac{1214}{2428} p = - \frac{1214}{2428}

Solution

p_{1} = - \frac{1214}{2428}, p_{2} = 0, p_{3} = \frac{1214}{2428}

Alternative Form

p_{1} \approx - 0.01435, p_{2} = 0, p_{3} \approx 0.01435

Show Solution