Answer with step-by-step explanation:
The first three steps of completing the square to solve the quadratic equation
are given in the question which include:
Step 1:
![x^2+4x=6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/htczmr26t68kse8jwn4wfvjwewa2sgcwhp.png)
Step 2:
![x^2+4x+4=6+4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/i7z03oczbi3d3zmsi18zhsm52fhqhf0219.png)
Step 3:
![(x+2)^2=10](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jvsiyqep4uj26njw8iihyse3csm75wwmc5.png)
So the next three steps will be:
Step 4:
![\sqrt { ( x + 2 ) ^2 } = \sqrt { 10 }](https://img.qammunity.org/2020/formulas/mathematics/middle-school/n9etmm58f061xz8k9fbu554ei8m085e0zk.png)
(taking square root on both sides of
to get
)
Step 5: solve for x(
, (
(solve for x)
Step 6:
or
![x=-5.16](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6ff5fo7jg87sq5g398dbg5x8q7zgl773a3.png)
(evaluate)