不解方程,求下列各式的值

来源:百度知道 编辑:UC知道 时间:2024/05/11 05:19:11
已知方程2x ^2-3x-4=0不解方程,求下列各式的值,
x1+x2=_______ x1*x2=______
x1^2+x2^2=______ 1/x1+1/x2=_______
x1-x2差的绝对值 =____
(x1-x2)^2
最后一个是(x1-x2)^2=______

x1+x2=3/2,x1*x2=-2

x1^2+x2^2=(x1+x2)^2-2x1x2=(3/2)^2-2*(-2)=25/4

1/x1+1/x2=(x1+x2)/(x1x2)=(3/2)/(-2)=-3/4

(x1-x2)^2=(x1+x2)^2-4x1x2=(3/2)^2-4*(-2)=41/4

|x1-x2|=(根号41)/2

x1+x2=___3/2____ x1*x2=___-2___
x1^2+x2^2=___25/4___ 1/x1+1/x2=____-3/4___
x1-x2差的绝对值 =__根号41/2__
(x1-x2)^2=__41/4____

x1+x2=3/2,
x1*x2=-2,
x1^2+x2^2=(x1+x2)^2-2x1*x2=9/4+4=25/4
1/x1+1/x2=(x1+x2)/(x1x2)=-3/4
x1-x2差的绝对值=根号41/2
(x1-x2)^2==(x1+x2)^2-4x1*x2=9/4+8=41/4