用配方法解2X눀+3=7x 解方程3x눀-8x+4=0

2024-12-23 15:07:06
推荐回答(2个)
回答1:

2X²+3=7x
解:2x²-7x+3=0
2(x²-7/2x+49/16)+3-49/8=0
(x-7/4)²=25/4
x-7/4=±5/2
x=(7±10 )4
x=17/4或x=-3/4

回答2:

2X2+3=7x
解:2x2-7X+3=0
2(X2-7/2X+3/2)=0
(X-7/4)2-(7/4)2+3/2=0
(X-7/4)2-49/16+24/16=0
(X-7/4)2=25/16
X-7/4=5/4或x-7/4=-5/4
X=3或X=1/2