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Is x Necessarily Rational If It Satisfies (ax+b)/(cx+d)=1?
(ax+b)=(cx+d) ax-cx=d-b x(a-c)=d-b x=(d-b)/(a-c) So if a,b,c,d are integers then the subtraction and division of integers must also be rational. Is that the answer?- DarkGuju
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- Forum: Calculus and Beyond Homework Help
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Is x Necessarily Rational If It Satisfies (ax+b)/(cx+d)=1?
Suppose a,b,c,d are integers and a DOES NOT equal c. Suppose that x is a real number that satisfies the equation: (ax+b)/(cx+d)=1 Must x be rational? If so, express x as a ratio of two integers. I have no idea how to begin this problem.- DarkGuju
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- Discrete Discrete math Rational
- Replies: 4
- Forum: Calculus and Beyond Homework Help