Page 140 - aljaber

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[AHSME 1954] ( )

: 2x2 − 2x + 7 + 4 − 6x + 1 = 0
x −1 3 x −1

−4 −1 ( ) 4( ) 1 ( ) 4 1 ()

: 1=2 [AHSME 1955] ( )

x −1 x −2 x = 0 ()
x =1 ( )
x =2 x =1 ( ) x [AHSME 1956] ( )
x =2 ()
3y2 + y + 4 = 2(6x 2 + y + 2) ()
: y = 2x
x =0 ( ) x ()
x () x ()

cb a [AHSME 1955]

ba c a +b =a b
cc
b(a2 − 1) ( ) )
a a (b2 − 1) ( )
a2 (b − 1) ( ) b
b
x 2 + b2 = (a − x)2 b2 (a − 1) ( )

a

x [AHSME 1958] (

a2 − b2 ( ) a2 − b2 ( ) b2 − a2 ( ) a2 + b2 ( )

2a 2 2a 2a