用适当方法解方程解方程a²x²+b²x-a²-b²=0 3(3x-1)²-5(3x-1)=12 2x²-(3m-n)x+m²-n²=0
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![用适当方法解方程解方程a²x²+b²x-a²-b²=0 3(3x-1)²-5(3x-1)=12 2x²-(3m-n)x+m²-n²=0](/uploads/image/z/1630647-63-7.jpg?t=%E7%94%A8%E9%80%82%E5%BD%93%E6%96%B9%E6%B3%95%E8%A7%A3%E6%96%B9%E7%A8%8B%E8%A7%A3%E6%96%B9%E7%A8%8Ba%26%23178%3Bx%26%23178%3B%2Bb%26%23178%3Bx-a%26%23178%3B-b%26%23178%3B%3D0+3%EF%BC%883x-1%EF%BC%89%26%23178%3B-5%EF%BC%883x-1%EF%BC%89%3D12+2x%26%23178%3B-%EF%BC%883m-n%EF%BC%89x%2Bm%26%23178%3B-n%26%23178%3B%3D0)
用适当方法解方程解方程a²x²+b²x-a²-b²=0 3(3x-1)²-5(3x-1)=12 2x²-(3m-n)x+m²-n²=0
用适当方法解方程
解方程a²x²+b²x-a²-b²=0 3(3x-1)²-5(3x-1)=12 2x²-(3m-n)x+m²-n²=0
用适当方法解方程解方程a²x²+b²x-a²-b²=0 3(3x-1)²-5(3x-1)=12 2x²-(3m-n)x+m²-n²=0
解方程:
1. a²x²+b²x-a²-b²=0
a^2(x^2-1)+b^2(x-1)=0
(x-1)[a^2(x+1)+b^2]=0
a^2(x+1)+b^2=0 x-1=0
x1=-b^2/a^2-1 x2=1
2. 3(3x-1)²-5(3x-1)=12
(3x-1)^2-5/3*(3x-1)+25/36=12+25/36=457/36
(3x-1-25/36)^2=457/36
3x-61/36=±√457/6
x1=61/36+√457/6 x2=61/36-√457/6