Solve 5601-p^2e - ScanMath

Question

Simplify the expression

5601 - e p^{2}

Evaluate

5601 - p^{2} e

Solution

5601 - e p^{2}

Show Solution

p_{1} = - \frac{5601 e}{e}, p_{2} = \frac{5601 e}{e}

Alternative Form

p_{1} \approx - 45.392651, p_{2} \approx 45.392651

Evaluate

5601 - p^{2} e

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

5601 - p^{2} e = 0

Use the commutative property to reorder the terms

5601 - e p^{2} = 0

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

- e p^{2} = 0 - 5601

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

- e p^{2} = - 5601

Change the signs on both sides of the equation

e p^{2} = 5601

Divide both sides

\frac{e p ^{2}}{e} = \frac{5601}{e}

Divide the numbers

p^{2} = \frac{5601}{e}

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

p = \pm \frac{5601}{e}

Simplify the expression

More Steps

Evaluate

\frac{5601}{e}

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

\frac{5601}{e}

Multiply by the Conjugate

\frac{5601 \times e}{e \times e}

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

\frac{5601 e}{e \times e}

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

\frac{5601 e}{e}

p = \pm \frac{5601 e}{e}

Separate the equation into 2 possible cases

p = \frac{5601 e}{e} p = - \frac{5601 e}{e}

Solution

p_{1} = - \frac{5601 e}{e}, p_{2} = \frac{5601 e}{e}

Alternative Form

p_{1} \approx - 45.392651, p_{2} \approx 45.392651

Show Solution