配方法解方程,x的平方+10x=9=0
来源:学生作业帮 编辑:百度作业网作业帮 分类:数学作业 时间:2024/07/31 21:35:45
配方法解方程,x的平方+10x=9=0
![配方法解方程,x的平方+10x=9=0](/uploads/image/z/5295237-69-7.jpg?t=%E9%85%8D%E6%96%B9%E6%B3%95%E8%A7%A3%E6%96%B9%E7%A8%8B%2Cx%E7%9A%84%E5%B9%B3%E6%96%B9%2B10x%3D9%3D0)
x" + 10x + 9 = 0
x" + 10x + 25 - 16 = 0
( x + 5 )" - 4" = 0
( x + 5 - 4 )( x + 5 + 4 ) = 0
( x + 1 )( x + 9 ) = 0
解方程得
x1 = -1
x2 = -9
如果 x" + 10x = 9,也就是
x" + 10x - 9 = 0
同样 x" + 10x + 25 - 34 = 0
( x + 5 )" - ( √34 )" = 0
( x + 5 + √34 )( x + 5 - √34 ) = 0
解方程得
x1 = -5 - √34
x2 = -5 + √34
x" + 10x + 25 - 16 = 0
( x + 5 )" - 4" = 0
( x + 5 - 4 )( x + 5 + 4 ) = 0
( x + 1 )( x + 9 ) = 0
解方程得
x1 = -1
x2 = -9
如果 x" + 10x = 9,也就是
x" + 10x - 9 = 0
同样 x" + 10x + 25 - 34 = 0
( x + 5 )" - ( √34 )" = 0
( x + 5 + √34 )( x + 5 - √34 ) = 0
解方程得
x1 = -5 - √34
x2 = -5 + √34