How to solve (D)^(2)=22.11

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 (D)^(2)=22.11 | Equatix

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Question

$${ D }^{ 2 } =22.11$$

Solve for D

$D = \frac{\sqrt{2211}}{10} \approx 4.702127178$
$D = -\frac{\sqrt{2211}}{10} \approx -4.702127178$

Steps by Finding Square Root

Steps Using the Quadratic Formula

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$D=\frac{\sqrt{2211}}{10}$$ $$D=-\frac{\sqrt{2211}}{10}$$

Steps Using the Quadratic Formula

Subtract $22.11$ from both sides.

$$D^{2}-22.11=0$$

This equation is in standard form: $ax^{2}+bx+c=0$. Substitute $1$ for $a$, $0$ for $b$, and $-22.11$ for $c$ in the quadratic formula, $\frac{-b±\sqrt{b^{2}-4ac}}{2a}$.

$$D=\frac{0±\sqrt{0^{2}-4\left(-22.11\right)}}{2}$$

Square $0$.

$$D=\frac{0±\sqrt{-4\left(-22.11\right)}}{2}$$

Multiply $-4$ times $-22.11$.

$$D=\frac{0±\sqrt{88.44}}{2}$$

Take the square root of $88.44$.

$$D=\frac{0±\frac{\sqrt{2211}}{5}}{2}$$

Now solve the equation $D=\frac{0±\frac{\sqrt{2211}}{5}}{2}$ when $±$ is plus.

$$D=\frac{\sqrt{2211}}{10}$$

Now solve the equation $D=\frac{0±\frac{\sqrt{2211}}{5}}{2}$ when $±$ is minus.

$$D=-\frac{\sqrt{2211}}{10}$$

The equation is now solved.

$$D=\frac{\sqrt{2211}}{10}$$ $$D=-\frac{\sqrt{2211}}{10}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

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Linear Algebra

Chemistry

Example

Question

Solve for D

Steps by Finding Square Root

Steps Using the Quadratic Formula

Steps by Finding Square Root

Steps Using the Quadratic Formula