Page 132 - aljaber

@ @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