if the zeroes of the quadratic polynomials x^2+(m+1)x+n are 2 and -3 then please
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please tell the full question
bcuz it is not possible to solve with incomplete question
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we need to find the value of 1/m + 1/n
m and n are Zeroes of polynomial x² + x + 1
p(x) = x² + x + 1
a = 1
b = 1
c = 1
We know that,
Sum of zeroes = -b/a
↛ m + n = -1/1
↛ m + n = -1⠀⠀.....1)
Product of zeroes = c/a
↛ mn = 1/1
↛ mn = 1⠀⠀⠀......2)
Now,
Value of 1/m + 1/n is :-
» 1/m + 1/n = (n + m)/mn
From equations 1) and 2)
» 1/m + 1/n = -1/1
» 1/m + 1/n = - 1
Hence,
» Value of 1/m + 1/n is -1
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