Page 132 - aljaber
P. 132
@ @QQY@ @pý†bɾa@ @
. x ABCD :( ) ( )
PQRS 2x + 3 ABCD
.x + 2
. 3(x + 2) + 4 = 3x + 10 PQRS
(x + 2)(3x + 10) = 2x(2x + 3)
3x2 + 16x + 20 = 4x2 + 6x
x 2 − 10x − 20 = 0
x = 10 ± 100 + 80 = 10 ± 180
22
ABCD = 10 ± 6 5 = 5 ± 3 5 5−3 5
2
.
.x = 5 + 3 5
:( ) ( )
. 1 + 1 = 25
9 16 144
. 4 25 = 25
144 36
x. 11
36
.
x 1 = 11
9 36
36x = 99