Quadratic Equation:- A quadratic equation is a second order equation written as ax2+bx+c=0 where a,b and c are coefficients of real numbers and a≠0. If α and β are the roots of the quadratic equation Sum of roots;- α+β=
−b
a
logaxm=mlogax
We have, ⇒log10[995+√x2−12x+60]=3 ⇒log10[995+√x2−12x+60]=log10103 ⇒995+√x2−12x+60=103 ⇒995+√x2−12x+60=1000 ⇒√x2−−12x+60=5 On squaring both the sides, we get ⇒x2−12x+60=25 ⇒x2−12x+35=0 ⇒ Sum of roots =