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已知方程ײ-3x+1=0的两个实数根是×₁,×₂,求下列各式的值:
﹙1﹚﹙×₁+1﹚﹙×₂+1﹚ ﹙2﹚1/×₁+1/×₂; ﹙3﹚×₁-×₂
人气:453 ℃ 时间:2020-03-30 00:24:19
解答
ײ-3x+1=0
x1+x2=3
x1x2=1
(1)x1x2+x1+x2+1
=1=3+1
=5
(2)1/x1+1/x2
=(x1+x2)/x1x2
=3
(3)(x1-x2)²=(x1+x2)²-4x1x2
=9-4
=5
x1-x2=±√5
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