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,

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

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

Step-by-step 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 :

$(x+3)^2=\frac{21}{2}$

Step 6 :

$x+3=\pm \sqrt{\frac{21}{2}}$

Step 7 :

$x=-3 \pm \sqrt{\frac{21}{2}}$

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