Question

If equation ax2 + bx + c = 0 and x3 + x2 – 2 = 0 have two common roots, then (a, b, c belongs to Q) (1) a = b is not equal to c (2) a is not equal to b = c (3) a = b = c (4) a = –b = c

Answer 1

The answer is option(3)a=b=c...

Answer 2

Answer:

Step-by-step explanation:

X^3 +X^2 -2 = 0 has a root X-1=0

X^3 +X^2 -2 = 0 => (X-1)(X^2 + 2X +2)

Therefore common roots are roots of (X^2+2X+2) I.e -1-i and -1+i

-b/a = -2. And c/a = 2