If x1,x2,x3 are distinct roots of the equation,ax2+bx+c=0 ,then
abc ≠ 0 & a, b, c ϵ R. If x1 is a root of a2x2+bx+c=0, x2 is a root of a2 x2−bx−c=0 and x1>x2>0, then the equation a2x2+2bx+2c=0 has a root x3 such that
The roots of a quadratic equation ax2+bx+c=0 are given by −b±√b2−4ac2a, provided b2–4ac≥0.
If x1, x2 are the roots of ax2 + bx + c = 0 and x1+d, x2+d are the roots of px2 + qx + r = 0, d ≠ 0 then