Question

Solve each equation. 0.2x2 + 1.2 = 3.4

Answer 1

$0.2x^2+1.2=3.4\ \ \ |-1.2\\\\0.2x^2=2.2\ \ \ |:0.2\\\\x^2=11\to x=\pm\sqrt{11}\\\\\text{Answer:}\ x=-\sqrt{11}\ \vee\ x=\sqrt{11}$

Answer 2

Answer:

$x=-\sqrt{11}\text{ or }x=\sqrt{11}$

Step-by-step explanation:

We have been given an equation $0.2x^2+1.2=3.4$. We are asked to solve the given equation.

$0.2x^2+1.2-1.2=3.4-1.2$

$0.2x^2=2.2$

$\frac{0.2x^2}{0.2}=\frac{2.2}{0.2}$

$x^2=11$

Take square root of both sides:

$x=\pm\sqrt{11}$

$x=-\sqrt{11}\text{ or }x=\sqrt{11}$

Therefore, the solutions for our given equation would be $x=-\sqrt{11}\text{ or }x=\sqrt{11}$.