Page 134 - aljaber

@ @QRQ@ @pý†bɾa@ @

.m + n = 1 − 2 = −1
x :( ) ( )

15 . 15
x +4
x

.

15 − 15 = 1
x x+4 2
15(x + 4) − 15x = 1 x(x + 4)

2
15x + 60 − 15x = x2 + 4x

2
x2 + 4x − 120 = 0

x = −4 ± 496 = −4 ± 4 31 = −2 ± 2 31
22

. x = −2 + 2 31

α +1 . α :( ) ( )

.

. α(α + 1) = q 2α + 1 = −p

α = −1 − p
2

. α + 1 = −1 − p + 1 = 1 − p
22

q = α(α + 1) =  −1 − p  1 − p  = p2 − 1
2 2 4

. p = 4q + 1 p2 = 4q + 1