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If α, β are the zeros of the polynomial f(x) = x2 + x + 1, then 1
/a
+
1
/b= …….

a) 1
b)

By Jade

If α, β are the zeros of the polynomial f(x) = x2 + x + 1, then 1
/a
+
1
/b= …….

a) 1
b) -1
c) 0
d) None of these​

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Jade

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1 thought on “If α, β are the zeros of the polynomial f(x) = x2 + x + 1, then 1<br /> /a <br /> +<br /> 1<br /> /b= …….<br /><br />a) 1 <br />b)”

  1. Answer:

    Step-by-step explanation:

    Given [tex]\alpha and\beta[/tex] are the roots of Polynomial f(x)=x^2+x+1 where (a=1 , b=1 , c=1)

    We have To find 1/[tex]\alpha[/tex] + 1/[tex]\beta[/tex]=[tex](\alpha +\beta )/\alpha \beta[/tex] . . . ..(1)

    And we also know that sum of roots(zeroes) of quadratic polynomial = -b/a

    [tex]\alpha +\beta =-b/a[/tex]=-1/1=-1 . . . .. (2)

    Product of roots of quadratic polynomial =c/a

    [tex]\alpha \beta =c/a=1/1=1[/tex] . . . . . .(3)

    Put the values of (2) and (3) in (1)

    we get

    -1/1=-1 ANS

    Reply

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