Question

Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Check all that apply. 2(x2 + 6x + 9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = 2(x2 + 6x + 9) = –3 + 9 (x + 3)2 =

Answer 1

Step 1,3 ,4 are the answers in edgenuit

Answer 2

Answer: The required steps are,

`2(x^2+6x)=3`

`2(x^2+6x+9)=3+18`

Explanation:

Here, the given quadratic equation is,

`2x^2+12x-3=0`

For solving the above equation, the steps are as follow,

Step 1 :

`2x^2+12x-3=0`

Step 2 :

`2x^2+12x=3`

Step 3 :

`2(x^2+6x) =3`

Step 4 :

`2(x^2+6x+9)=3+18`

Step 5 :

`(x+3)^2=(21)/(2)`

Step 6 :

`x+3=\pm \sqrt{(21)/(2)}`

Step 7 :

`x=-3 \pm \sqrt{(21)/(2)}`

Thus, by the above explanation we can find out the equations that will be used to solve the given quadratic equation.