a^2+b^2-10a+6b+34=0求5a-3b的值

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a^2+b^2-10a+6b+34=0求5a-3b的值
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a^2+b^2-10a+6b+34=0求5a-3b的值
a^2+b^2-10a+6b+34=0求5a-3b的值

a^2+b^2-10a+6b+34=0求5a-3b的值
a^2+b^2-10a+6b+34=0
a²-10a+25+b²+6b+9=0
(a-5)²+(b+3)²=0
∴(a-5)²=0,(b+3)²=0
a-5=0,b+3=0
a=5,b=-3.
5a-3b
=5×5-3×(-3)
=25+9
=34

a^2+b^2-10a+6b+34=0
(a^2-10a+25)+(b^2+6b+9)=0
(a-5)^2+(b+3)^2=0
a=5
b=-3
5a-3b
=25+9=34

a^2+b^2-10a+6b+34=0
(a-5)^2+(b+3)^2=0
a=5
b=-3
5a-3b=34

a=5 b=-3 5a-3b=34