Question

If a,b,c belongs to Q and p+√q (p,q belongs to Q) is an irrational root of ax^2 +bx+c=0 then other root is

Answer 1

Answer:

$p-\sqrt{q}$

Step-by-step explanation:

Complex or irrational roots come in conjugate pairs. If $a+bi$ is the one root of the quadratic equation, then $a-bi$ is the second root. Similarly, If $a+n\sqrt{b}$ is the one root of the quadratic equation, then $a-n\sqrt{b}$ is the second root.