x(50-x)=500怎么解,要过程

问题描述:

x(50-x)=500怎么解,要过程

x^2-50x+500=0
用求根公式得:x=25+-5根号5

x2-50x+500=0
a=1,b=-50,c=500
x=[-b±(b²-4ac)^(1/2)]/2a代入计算即可

x(50-x)=500
50x-x²=500
x²-2×25x+25²=25²-500
(x-25)²=125
x-25=±5√5
x=25±5√5

x(50-x)=500
50x-x²=500
x²-50x+500=0
x²-50x+625-125=0
(x-25)²=125
x=25±5√5