Page 142 - aljaber
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[AHSME 1951] ( )
x(x − 1) − (m + 1) = x
(x − 1)(m − 1) m
m
−1 ( ) −1 ( ) 1( ) 1( ) )
r −s 2 2 r(
2x2 + 3x − 6 = 0 s :
3 ( ) 57 ( ) 0( ) 57 ( )
22 k ()
(k + 1)x 2 + kx + k = 0
−3 ( ) 4( ) −4 ( ) 0 ()
()
4 3 3
kx 2 + (k − 8)x + (1 − k) = 0
k 2
k=4( ) k = 16 k = 4 ( )
k = −16 k = −4 ( ) k = 16 ( )
k(
y = x2 + x − 5 y = 3x + k )
k = −6 ( ) k = 6 ( ) k = −4 ( ) k = 4 ( )