4x눀-x=9用配方法解方程

2024-11-17 20:46:25
推荐回答(3个)
回答1:

4X2-X-9=0
X2-X/4-9/4=0
X2-X/4+1/64=9/4+1/64=145/64
(X-1/8)2=145/64
X=正负(1+根号145)/8

回答2:

4x²-x=9
4x²-x+1/16=9+1/16
(2x-1/4)²=145/16
2x-1/4=±√145/4
则:x=(1±√145)/8

回答3:

4x²-x=9
(2x-1/4)^2=9+1/16=145/16
2x-1/4=±√145/4
x1=1/8+√145/8
x2=1/8-√145/8