Question

If a and b are roots of x2-x+2 =0, then a+b+ab is

Answer 1

Answer:

Step-by-step explanation:

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