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Verified answer
Jawabbentu 0/0 untuk x = - 2
a(-2)² + b(-2) + 6 = 0
4a - 2b + 6 =0
2a- b + 3=0
b = 2a + 3
Lim x->- 2 (ax² + (2a + 3)x + 6)/(x² -x - 6) = 1/5
d'hosptal
(2a x + 2a+3 )/(2x -1) = 1/5 untuk x =-2
(2a(-2) + 2a+3)) / (2(-2) -1)) = 1/5
(-4a + 2a+ 3) / (- 5) = 1/5
-2a + 3 = - 1
-2a = - 4
a = 2
b = 2a+ 3
b = 2(2) + 3
b = 7
a b= 2(7)
a b = 14