问题 解答题
(1)计算:(x+3)2-(x-1)(x-2)
(2)化简:
x2+2x
x2-4
-
2
x-2

(3)解方程:x2-2x-3=0
答案

(1)(x+3)2-(x-1)(x-2)

=x2+6x+9-(x2-3x+2)

=x2+6x+9-x2+3x-2

=9x+7.

(2)

x2+2x
x2-4
-
2
x-2

=

x(x+2)
(x+2)(x-2)
-
2
x-2

=

x
x-2
-
2
x-2

=1.

(3)移项,得x2-2x=3,配方,

得(x-1)2=4,

∴x-1=±2,

∴x1=-1,x2=3.

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