Question

If alpha and beta, are the roots of the quadratic equation x2

+ x + 1 = 0, then

1/alpha +1/beta =?​

Answer 1

Let a and b be the roots of the quadratic equation,x²+x+1=0

We have,

x²+x+1=0

To find: 1/a + 1/b

__________________________________________________

★Some Rules of Polynomial

•Sum of Roots: -x coefficient/x²coefficient

•Product of Roots: constant term/x²coefficient

__________________________________________________

Here,

Sum of Roots:

a+b= -1

Product of Roots:

ab= 1

Now,

1/a +1/b

→ (a+b)/ab

→ (-1)/1

→ -1

Hence, -1 is the solution of 1/a + 1/b

Answer 2

Answer:

hope it helps uh.....insane..