作业帮 > 数学 > 作业

计算:√4÷(1、2)ˆ-1+(-1)ˆ2013×4ˆ0

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:2024/06/13 04:00:08
计算:√4÷(1、2)ˆ-1+(-1)ˆ2013×4ˆ0
x²+3x-1=0
化简求值(x-y)/(x²-2xy+y²)-(xy-y²)/(x²-y²),其中(x-2)²+∣y-3∣=0
计算:√4÷(1、2)ˆ-1+(-1)ˆ2013×4ˆ0
√4÷(1/2)ˆ-1+(-1)ˆ2013×4ˆ0
=2÷2 +(-1)×1
=1 -1
=0
x²+3x-1=0
Δ=3²-4*1*(-1)=9+4=13
x=(-3±√13)/2
(x-y)/(x²-2xy+y²)-(xy-y²)/(x²-y²)
=(x-y)/(x-y)² - y(x-y)/[(x+y)(x-y)]
=1/(x-y) - y/(x+y)
已知(x-2)²+∣y-3∣=0,则有:
x-2=0且y-3=0
解得:x=2,y=3
所以所求式子=1/(x-y) - y/(x+y)=1/(2-3) - 3/(2+3)=-1 - 3/5=-8/5