please it is urgent I have exam today..
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I am taking alpha as a
and beta as b for ease of calculation here
you have to show that (a+1)*(b+1) = 1-c
a*b + (a+b) +1 = 1-c
a*b +(a+b) = -c
now a*b = -c-p ( product of roots of quadratic equation)
and a+b = p
therefore
-c-p+p = -c
-c = -c
hence proved
Answered by
0
Let alpha = a
Beta = b
We have to show that (a+1)*(b+1) = 1-c
a*b + (a+b) +1 = 1-c
a*b +(a+b) = -c
now a*b = -c-p ( product of roots of quadratic equation)
and a+b = p
therefore
-c-p+p = -c
-c = -c
hence proved
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