Answer:
± [tex]\sqrt{22} -3[/tex]
Step-by-step explanation:
we would need to first separate the -13 to complete the square. To do that we divide 6 from the 6q by 2, which is 3. We then square the 3 to get positive 9. We separate the equation to become
[tex]q^2+6q+9-22=0[/tex]
since 9 - 22 is the same as -13
We can then reverse factor and get the equation to the form of:
[tex](q+3)^2-22=0[/tex]
Moving the -22 to the other side yields
[tex](q+3)^2=22[/tex]
Taking the square root then isolating the q gives us the answers:
[tex]q=[/tex] ± [tex]\sqrt{22} -3[/tex]
