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Question Number 13002 by Joel577 last updated on 10/May/17

3^((x − 3)(x − y − 2))  = 1  5^((x^2  − 2xy + y^2  + x − y − 3/2))  = (√5)  Find the value of x and y

3(x3)(xy2)=15(x22xy+y2+xy3/2)=5Findthevalueofxandy

Answered by 433 last updated on 10/May/17

3^((x−3)(x−y−2)) =3^0   (x−3)(x−y−2)=0  x=3 or x−y=2  if x=3  5^((9−6y+y^2 +3−y−(3/2))) =5^(1/2)   9−6y+y^2 +3−y−(3/2)=(1/2)  y^2 −7y+10=0  y=5 or y=2  if x−y=2  5^(((x−y)^2 +(x−y)−(3/2))) =5^(1/2)   5^((4+2−(3/2))) =5^(1/2)   5^(3/2) =5^(1/2)    (x,y)∈{(3,5),(3,2)}

3(x3)(xy2)=30(x3)(xy2)=0x=3orxy=2ifx=35(96y+y2+3y32)=51296y+y2+3y32=12y27y+10=0y=5ory=2ifxy=25((xy)2+(xy)32)=5125(4+232)=512532=512(x,y){(3,5),(3,2)}

Commented by Joel577 last updated on 11/May/17

thank you very much

thankyouverymuch

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