Question

3X²-9X+2=0用配方法解

xiangxiguocheng
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Answer 1

3X²-9X+2=0
解：3(X²-3X)+2=0
3[X²-3x+(3/2）²-(3/2）²]+2=0
3[（X-3/2）²-(3/2）²]+2=0
3（X-3/2）²-3(3/2）²+2=0
3（X-3/2）²-27/4+2=0
（X-3/2）²-1/4+=0
（X-3/2）²=1/4
X-3/2=± √￣ 1/4
X=± √￣1/4 + 3/2

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Answer 2

3X²-9X+2=0
X²-3X=-2/3
（x-3/2)²=19/12
x-3/2=±√57/6
X1=3/2+√57/6
X2=3/2-√57/6

Answer 3

3(x-3/2)^2=3×(9/4)-2
(x-3/2)^2=19/12
x-3/2=±√57/2
x=±√57/2+3/2