How to solve 5(p)^(2)=1100

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 5(p)^(2)=1100 | Equatix

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Question

$$5 { p }^{ 2 } =1100$$

Solve for p

$p=2\sqrt{55}\approx 14.832396974$
$p=-2\sqrt{55}\approx -14.832396974$

Steps by Finding Square Root

Steps Using the Quadratic Formula

Steps by Finding Square Root

Divide both sides by $5$.

$$p^{2}=\frac{1100}{5}$$

Divide $1100$ by $5$ to get $220$.

$$p^{2}=220$$

Take the square root of both sides of the equation.

$$p=2\sqrt{55}$$ $$p=-2\sqrt{55}$$

Steps Using the Quadratic Formula

Divide both sides by $5$.

$$p^{2}=\frac{1100}{5}$$

Divide $1100$ by $5$ to get $220$.

$$p^{2}=220$$

Subtract $220$ from both sides.

$$p^{2}-220=0$$

This equation is in standard form: $ax^{2}+bx+c=0$. Substitute $1$ for $a$, $0$ for $b$, and $-220$ for $c$ in the quadratic formula, $\frac{-b±\sqrt{b^{2}-4ac}}{2a}$.

$$p=\frac{0±\sqrt{0^{2}-4\left(-220\right)}}{2}$$

Square $0$.

$$p=\frac{0±\sqrt{-4\left(-220\right)}}{2}$$

Multiply $-4$ times $-220$.

$$p=\frac{0±\sqrt{880}}{2}$$

Take the square root of $880$.

$$p=\frac{0±4\sqrt{55}}{2}$$

Now solve the equation $p=\frac{0±4\sqrt{55}}{2}$ when $±$ is plus.

$$p=2\sqrt{55}$$

Now solve the equation $p=\frac{0±4\sqrt{55}}{2}$ when $±$ is minus.

$$p=-2\sqrt{55}$$

The equation is now solved.

$$p=2\sqrt{55}$$ $$p=-2\sqrt{55}$$

Show Solution

Basic Math

Pre-Algebra

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Trigonometry

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Precalculus

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Example

Question

Solve for p

Steps by Finding Square Root

Steps Using the Quadratic Formula

Steps by Finding Square Root

Steps Using the Quadratic Formula