Question

1/a+1b=1/3 afla a si b​

Answer 1

Răspuns:

(a, b)∈{(4;12);(6;6);(12;4) (2;-6);(-6;2)}

in Z*

(a, b)∈{(4;12);(6;6);(12;4)in N*

Explicație pas cu pas:a=b=6

sau

a=4, b=12

sau

a=12, b=4

1/6+1/6=2/6=1/3

1/4+1/12=(1/4)*(4/3) =1/3

C.E , ab ∈N*

(a+b)/ab=1/3

3(a+b)=ab

asau b div cu 3

3a+3b=ab

b(3-a)=-3a

b=3a/(a-3)

b= (3a-9+9)/(a-3)

b=3+9/(a-3)

in N*

a-3=1.....a= 4....b=12

a03=3....a=6 ....b=6

a-3=9....a=12 ...b=4

in Z se adauga

a03=-1...a=2....b=-6

a-3=-3...a=0 , nu convine/m nu are sens

a-3=-9...a=-6 b=2