8/9(x+2)²=1/2(3x+1)²

网友回答

8/9(x+2)²=1/2(3x+1)²
16(x+2)²=9(3x+1)²
16x ² + 64x + 64 = 81x² + 54x + 9
65x² - 10x - 55 =0
13x² -2x -11 =0
(13x +11)(x-1) =0
x= -11/13 或者 1
======以下答案可供参考======
供参考答案1:
8/9(x+2)²=1/2(3x+1)²
16(x+2)²-9(3x+1)²=0
[4(x+2)+3(3x+1)][4(x+2)-3(3x+1）]=0
(13x+11)(-5x+5)=0
x1=-11/13, x2=1
供参考答案2:
16﹙x＋2﹚²＝9﹙3x＋1﹚²
﹙4x＋8﹚²－﹙9x＋3﹚²＝0
﹙4x＋8－9x－3﹚﹙4x＋8＋9x＋3﹚＝0
﹙13x＋11﹚﹙x－5﹚＝0
x1＝﹣11/13
x2＝5.