Answer with step-by-step explanation:
The first three steps of completing the square to solve the quadratic equation [tex]x^2+4x-6=0[/tex] are given in the question which include:
Step 1: [tex]x^2+4x=6[/tex]
Step 2: [tex]x^2+4x+4=6+4[/tex]
Step 3: [tex](x+2)^2=10[/tex]
So the next three steps will be:
Step 4: [tex] \sqrt { ( x + 2 ) ^2 } = \sqrt { 10 } [/tex]
(taking square root on both sides of [tex](x+2)^2=10[/tex] to get [tex]x+2 = +-\sqrt{10}[/tex])
Step 5: solve for x([tex]x+2=3.16[/tex] , ([tex]x+2=-3.16[/tex]
(solve for x)
Step 6: [tex]x=1.06[/tex] or [tex]x=-5.16[/tex]
(evaluate)
