UPSC CDS Math Quadratic Equations and Inequations Questions

Correct sum of the roots=4+3=7
Correct product of the roots=3×2=6
Therefore, the correct equation is x2 – (Correct sum of the roots)x + Correct product of the roots = 0, i.e., x2−7x+6=0.
x2−7x+6=0
⇒(x−1)(x−6)=0
⇒x=1 or x=6
Therefore, the correct roots of the equation are 1, 6.