Question

Jackson used the process of completing the square to solve the equation 2x2−12x=−6.

Answer 1

`x=3-√(6),x=3+√(6)`

Explanation:

we are given equation as

`2x^2-12x=-6`

Since, we have to solve it by using complete square

so, firstly we will complete square

and then we can solve for x

step-1:

Factor 2 from both sides

`2(x^2-6x)=-3* 2`

step-2:

Simplify it

`x^2-6x=-3`

step-3:

Add both sides 3^2

`x^2-6x+3^2=-3+3^2`

now, we can complete square

`(x-3)^2=6`

step-4:

Take sqrt both sides

`(x-3)=-√(6),(x-3)=√(6)`

step-5:

Add both sides by 3

we get

`x=3-√(6),x=3+√(6)`