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Answer:
a= -1
Roots are 2 and -2.
Step-by-step explanation:
3x²+(a+1)x-12 = 0
Let roots be x and y.
x= -y (given)
x+y = 0
-(a+1)/3= 0
-a -1 = 0
a = -1
3x²+(a+1)x-12 = 0
3x²+(-1+1)x-12 = 0
3x²-12 = 0
3(x²-4) = 0
x²-(2)² = 0
(x-2)(x+2) = 0
x -2= 0 or x +2= 0
x= 2,-2
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