If 3 and -3 are the solutions of equation ax^2+bx-9=0 ; find the values a and b.
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we first put x=3
a×3^2+b×3-9=0
or,9a+3b-9=0
we take 3 common
3a+b-3=0
____(1)
now we take x=-3
a×(-3)^2+b×(-3)-9=0
or,9a-3b-9=0
we take 3 common
3a-b-3=0
_____(2)
on adding (1)and(2) we get,
3a+b-3=0
+3a-b-3=0
___________
6a-6=0
6(a-1)=0
a-1=0
a=1
puttin a=1 in (1) we get,
3×1+b-3=0
3+b-3=0
3+b=3
b=3-3
b=0
hence , a=1 and b=0.
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