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√(11)\\\\\text{Answer:}\ x=-√(11)\ \vee\ x=√(11)`

Answer 2

`x=-√(11)\text{ or }x=√(11)`

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`

`(0.2x^2)/(0.2)=(2.2)/(0.2)`

`x^2=11`

Take square root of both sides:

`x=\pm√(11)`

`x=-√(11)\text{ or }x=√(11)`

Therefore, the solutions for our given equation would be
`x=-√(11)\text{ or }x=√(11)`.