6. (a1-g13-6) Tenglama ildizlari yig‘indisini toping: (2x² − 7x + 5)/(x − 1) = 0. A) 2,5; B) 3,5; C) 5; D) 7.

Kasr nolga teng bo‘lishi uchun surat nol, maxraj esa noldan farqli bo‘lishi kerak:

\(2x^2-7x+5=(2x-5)(x-1)=0\), shuning uchun \(x=2,5\) yoki \(x=1\).

Ammo maxraj \(x-1\neq0\), demak \(x=1\) yechim bo‘la olmaydi. Yagona ildiz \(x=2,5\).

Javob: A) 2,5.