Question

If a,b are the roots of the quadratic equation x^2+x+1=0 then find the value of 1/a+1/b​

Answer 1

Answer:

-1

Step-by-step explanation:

Let a,b be the roots of this quadratic eq.

∴Sum of roots:-(a+b)=-b/a

∴Product of roots:-(ab)=c/a

In the quadratic eq:-$x^{2} +x+1=0$

a+b=-1/1=-1

ab=1/1=1

$\frac{1}{a} +\frac{1}{b}\\= \frac{a+b}{ab} \\=\frac{-1}{1}$

=-1