SOLUTION: i have -16x^2+88x+3=124 and i have to use the quadratic formula to solve the equation and i have to know at what point of the process does it become obvious that there is only one

Question 241788: i have -16x^2+88x+3=124 and i have to use the quadratic formula to solve the equation and i have to know at what point of the process does it become obvious that there is only one solution to this equation?
Found 2 solutions by JimboP1977, checkley77:
Answer by JimboP1977(311) (Show Source): You can put this solution on YOUR website!

If the is equal to zero then there is only one solution.
The general form of the quadratic is
You need to rearrange your equation to that form.
so
So for your equation we have b=88 a=-16 and c=-121
At this point you know there is only one solution.

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
-16x^2+88x+3=124
-16x^2+88x+3-124=0
16x^2-88x+121=0 here you have 16=4^2 & 121=11^2 & 2*4*11=88.
This identifies a single solution.
(4x-11)^2=0
4x-11=0
x=11
x=11/4 ans.
Proof:
16(11/4)^2-88(11/4)+121=0
16*121/16-968/4+121=0
121-242+121=0
121-242+121=0
242-242=0
0=0
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