Question

若ab为实数,且满足|a_5|=8b-b^2_16,求（根号下5ab分之a）加（根号下5ab减a分之b）减(根号下5ab

Answer 1

|a_5|=8b-b^2_16

|a-5|+(b-4)²=0

∴a-5=0

b-4=0

∴a=5,b=4

（根号下5ab分之a）加（根号下5ab减a分之b）减(根号下5ab分之a+b)

=5/√(5ab)+b/(√5ab-a)-(a+b)/√5ab

=1/2+4/5-9/10

=2/5