Equation with roots shifted by h for JEE

Formula

\(a(x-h)^2+b(x-h)+c=0\)

Variables: \(\alpha,\beta\) are roots of \(ax^2+bx+c=0\); new roots are \(\alpha+h,\beta+h\)

Conditions: \(a\neq 0\)

Forming equations under translation of roots.