Question

5x=3x²-1解一元二次方程，用配方法解答，别打、的方法不要。谢谢。

Answer 1

3x²-5x=1
x²-5x/3=1/3
x²-5x/旁老3+25/36=1/3+25/樱告36=37/36
(x-5/6)²=(±√37/6)²
x-5/6=±√37/6
x=5/运颂升6±√37/6
x=(5-√37)/6，x=(5+√37)/6

Answer 2

5x=3x²-1
3x²-5x-1=0
x²滚竖-5x/3-1/3=0
(x-5/6)²-25/大如大36-1/3=0
（x-5/6）²=37/36
x-5/6=±√37/橡绝6
x=（5+√37）/6或（5-√37）/6

Answer 3

5x=3x²-1
3x²-5x-1=0
3(x²-5x/激洞3)-1=0
3(x-5/6)²-1-25/12=0
3(x-5/6)²=37/12
(x-5/6)²斗迹=37/36

所以 x-5/6=±√37/6
x=(5±√37)/明销枯6

Answer 4

先移项
5x-3x²衡源+1=
配瞎帆方
-3*(x-5/咐神态6)^2+37/12=0
再移项
3*(x-5/6)^2=37/12
再开方

Answer 5

解：移项，得3x²-5x=1
系数化消罩旅为1，得闷灶x²-3/5x=1/5
配方得， (x-3/10) ²=1/拿凳5+3/10