if alpha and beta are the zeroes of the polynomial 2x2-5x+7, find the value 1/alpha+1/beta
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if alpha and beta are the zeroes of the polynomial 2x2-5x+7, find the value 1/alpha+1/beta
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Answer:
5/7
Step-by-step explanation:
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STEP-BY-STEP EXPLANATION
p(x)=2x^2-5x+7
let alpha =a and beta=b
a*b=-c/a
that is, -7/2
a+b= b/a
that is -5/2
A/Q, we have to find,
1/a+1/b
taking their LCM
a+b/ab
now putting their value
-5/2 / -7/2
5/7
THEREFORE,
1/ALPHA +1/BETA =5/7