SOLUTION: Please help me solve this equation: -(t - 3)^2 + 6(t - 3) - 11 Kindly show the steps.

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Question 805571: Please help me solve this equation:
-(t - 3)^2 + 6(t - 3) - 11
Kindly show the steps.
Answer by dkppathak(439) About Me  (Show Source):
You can put this solution on YOUR website!
-(t - 3)^2 + 6(t - 3) - 11
-(t^2+9-6t)+6t-18-11=0
-t^2-9+6t+6t-18-11=0
-t^2+12t-38=0
t^2-12t+38=0
D=b^2-4ac
D=(-12)^2-4x1x38
D=144-152
D=-8 roots will be imaginary
x=-(-12)+2sqrt2i/2 or x=-(-12)-2sqrt2i/2
x=12+2sqrt2i/2 or x=12-2sqrt2i/2
by takinh common 2 and cancelling we will get
x=6+sqrt2i or 6-sqrt2i
by adjusting negative sign
we will get roots of equations as
x=-6-sqrt2i or x=-6+sqrt2i
Answer