if a and b are the zeros of the polynomial x2+5x+2 find the value of 1/a 1/b
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Since a and b are the zeros of the polynomial f(x)=x
2
−5x+k
The standard quadratic equation is px
2
+qx+r=0
Then Sum of roots = −
p
q
and Product of roots =
p
r
Therefore,
a+b=5 and ab=k
Now, a−b=1
(a−b)
2
=1
(a+b)
2
−4ab=1
25−4k=1
24=4k
k=6
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