F.4 maths. Find the possible values of a+c?

2018-10-15 10:13 pm
It is given that the graph of y = ax^2 +8x+c touches the x-axis at only one point, where a and c are positive integers.Find the possible values of a+c

回答 (1)

2018-10-16 12:34 pm
✔ 最佳答案
t is given that the graph of y =ax^2+8x+c touches the x-axis at only one point, where a and c are positive integers.Find the possible values of a+c
Sol
D=8^2-4*ac=0
ac=16
(1) a=1
c=16
a+c=17
(2) a=2
c=8
a+c=10
(3) a=4
c=4
a+c=8
(4) a=8
c=2
a+c=10
(5) a=16
c=1
a+c=16
possible values abe 8 or 10 or 17


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