QJEEM19Ma82ab: JEE Main 2019 Mathematics - Class 11 JEEM19Ma82ab Solution: Let p, q R. If 2 - is a root of the quadratic equation, x 2 +…

If a quadratic equation with rational coefficient has one irrational root then other root will be the conjugate of the irrational root.

Here x² + px + q = 0 has one root 2 - $\sqrt 3$ .

$\therefore$ Other root will be 2 + $\sqrt 3$ .

Sum of the roots = -p = 4

and product of the roots = q = 1

You can see p² – 4q – 12 = 0 satisfy value of p = -4 and q = 1.