The complete set of values of k, for which the quadratic equation x2−kx+k+2=0 has equal roots, consists of
2+√2
2¯¯¯¯+√12
2−√12
−2−√12
Equal roots ⇒△=0 k2−4(k+2)=0 k2−4k−8=0 k=4±√16+4(8)2 k=4±√482 k=4±2√122 ∴k=2±√12