[JEE Advanced 1982] If $2+i\sqrt3$ is a root of $x^2+px+q=0$ ($p,q$ real), then $(p,q)=$ ____
If $2+i\sqrt3$ is a root of $x^2+px+q=0$ ($p,q$ real), then $(p,q)=$ ____
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 1mo ago
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Answer: $(-4,7)$.
The conjugate $2-i\sqrt3$ is the other root; sum $4=-p\Rightarrow p=-4$, product $4+3=7=q$.
JEE Advanced 1982 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.
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