Matematika va informatikani o’qitish texnologiyalari loyihalari MAVZU: MODULLI TENGLAMA VA TENGSIZLIKLARNI YECHISH USULLARI

i9 presentation to Joe Smith2 Sonning moduli Berilgan a haqiqiy sonning moduli - sonlar o‘qining markazi yoki koordinatalar boshidan berilgan songacha bo‘lgan masofaga. ∙ ∙-5 50 5 birlik 5 birlik I 5 I = 5, 5 > 0 -5, -5 < 0

i9 presentation to Joe Smith3 Modulli chiziqli tenglamalar: Ix +4 I= 9 a) x+4=9 x=9-4 x= 5 b) x+4=-9 x=-9-4 x=-13 Javob: = 5 ; = -13

i9 presentation to Joe Smith4 |x -1 |=| 2 x +1 | (x -1 ) 2 =( 2 x +1 ) 2 (x -1 ) 2 -( 2 x +1 ) 2 =0 ((x -1 )-( 2 x +1 ))((x -1 )+( 2 x +1 ))=0 - x -2 =0 3 x= 0 -x= 2 x= 0:3 x= -2 x= 0 Javob : -2 ; 0 Modulli tenglama

i9 presentation to Joe Smith5 Modulli tenglama Tenglamani yeching: | х + 2 | = | 2х - 6 | 1 - usul : х + 2 = 2х – 6 va х + 2 = - (2х – 6) х = 8 3х = 4 х = 4/3 2 - usul : ( | х + 2 | ) 2 = ( | 2х - 6 | ) 2 | а | 2 =а 2 (х + 2) 2 = (2х - 6) 2 3х 2 – 28х + 32 = 0 => х = 8, х = 4/3