已知x-y=5,xy=6,则(x+y)^2=?

2025-01-21 11:29:48
推荐回答(4个)
回答1:

把x-y=5这个式子平方 得到x方-2xy+y方=25又因为xy=-6 所以 x方+y方=13再把问题展开 x方+2xy+y方=13-12=1

回答2:

x-y=5(x-y)^2=25x^2+y^2-2xy=25x^2+y^2=25+2xy所以(x+y)^2=x^2+y^2+2xy =25+4xy =1

回答3:

(x+y)�0�5 =x �0�5+y �0�5+2xy=x �0�5+y �0�5-2xy+4xy=(x-y)�0�5+4xy=5�0�5-4×6=25-24=1

回答4:

x-y=5(X-Y)^2=X^2+Y^2-2XY=25xy=-6(x+y)^2=X^2+Y^2+2XY=(X-Y)^2+4XY=25+4×(-6)=1