How to solve d ) 50x ^ 2 = 8

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 ) 50x ^ 2 = 8 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$50 x ^ { 2 } = 8$$

Solve for x

$x=\frac{2}{5}=0.4$
$x=-\frac{2}{5}=-0.4$

Steps Using Difference of Squares

Steps by Finding Square Root

Steps Using the Quadratic Formula

Steps Using Difference of Squares

Divide both sides by $50$.

$$x^{2}=\frac{8}{50}$$

Reduce the fraction $\frac{8}{50}$ to lowest terms by extracting and canceling out $2$.

$$x^{2}=\frac{4}{25}$$

Subtract $\frac{4}{25}$ from both sides.

$$x^{2}-\frac{4}{25}=0$$

Multiply both sides by $25$.

$$25x^{2}-4=0$$

Consider $25x^{2}-4$. Rewrite $25x^{2}-4$ as $\left(5x\right)^{2}-2^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

$$\left(5x-2\right)\left(5x+2\right)=0$$

To find equation solutions, solve $5x-2=0$ and $5x+2=0$.

$$x=\frac{2}{5}$$ $$x=-\frac{2}{5}$$

Steps by Finding Square Root

Divide both sides by $50$.

$$x^{2}=\frac{8}{50}$$

Reduce the fraction $\frac{8}{50}$ to lowest terms by extracting and canceling out $2$.

$$x^{2}=\frac{4}{25}$$

Take the square root of both sides of the equation.

$$x=\frac{2}{5}$$ $$x=-\frac{2}{5}$$

Steps Using the Quadratic Formula

Divide both sides by $50$.

$$x^{2}=\frac{8}{50}$$

Reduce the fraction $\frac{8}{50}$ to lowest terms by extracting and canceling out $2$.

$$x^{2}=\frac{4}{25}$$

Subtract $\frac{4}{25}$ from both sides.

$$x^{2}-\frac{4}{25}=0$$

This equation is in standard form: $ax^{2}+bx+c=0$. Substitute $1$ for $a$, $0$ for $b$, and $-\frac{4}{25}$ for $c$ in the quadratic formula, $\frac{-b±\sqrt{b^{2}-4ac}}{2a}$.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{4}{25}\right)}}{2}$$

Square $0$.

$$x=\frac{0±\sqrt{-4\left(-\frac{4}{25}\right)}}{2}$$

Multiply $-4$ times $-\frac{4}{25}$.

$$x=\frac{0±\sqrt{\frac{16}{25}}}{2}$$

Take the square root of $\frac{16}{25}$.

$$x=\frac{0±\frac{4}{5}}{2}$$

Now solve the equation $x=\frac{0±\frac{4}{5}}{2}$ when $±$ is plus.

$$x=\frac{2}{5}$$

Now solve the equation $x=\frac{0±\frac{4}{5}}{2}$ when $±$ is minus.

$$x=-\frac{2}{5}$$

The equation is now solved.

$$x=\frac{2}{5}$$ $$x=-\frac{2}{5}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for x

Steps Using Difference of Squares

Steps by Finding Square Root

Steps Using the Quadratic Formula

Steps Using Difference of Squares

Steps by Finding Square Root

Steps Using the Quadratic Formula