问题
解答题
已知,x2-5x-1=0,求: (1)x2+
(2)2x2-5x+
|
答案
(1)∵x2-5x-1=0,
∴x-5-
=0,1 x
∴x-
=5,1 x
∴两边平方得:x2-2+
=25,1 x2
x2+
=27.1 x2
(2)∵x2-5x-1=0,
∴x2-5x=1,
∴2x2-5x+
=x2-5x+x2+1 x2
=1+27=28.1 x2
已知,x2-5x-1=0,求: (1)x2+
(2)2x2-5x+
|
(1)∵x2-5x-1=0,
∴x-5-
=0,1 x
∴x-
=5,1 x
∴两边平方得:x2-2+
=25,1 x2
x2+
=27.1 x2
(2)∵x2-5x-1=0,
∴x2-5x=1,
∴2x2-5x+
=x2-5x+x2+1 x2
=1+27=28.1 x2