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How to dispose equation resolution

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okay um how to solve by clearing fractions what they mean by clearing fractions is we need to get rid of these two fractions um and to do that you got to know what is what is frac what is clearing fraction mean or what is a fraction a fraction is division right this really says one divided by three this says three divided by four so to undo division we do multiplication right because think about it this way you know a number lets say eight eight divided by two and then multiply by two well eight divided by two is four four multiply by two gives you back eight so it they undo each other what we call inverse operations so if i can take what im dividing by and multiply by those numbers i can get rid of them so the question is im dividing by four so to undo divide by four i have to multiply by four and you undo division by three i have to multiply by three well which one you choose and because remember its an equation you cant multiply by four on this side and then multiply by three

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How do you solve a Diophantine equation?

2:39 9:41 Diophantine Equation: ax+by=gcd(a,b) Number Theory YouTube Start of suggested clip End of suggested clip So if we divide 47 by 30 we get a quotient of 1 and a remainder of 17.. So the next step we take 30MoreSo if we divide 47 by 30 we get a quotient of 1 and a remainder of 17.. So the next step we take 30 and divide it by the previous remainder 17 we get a quotient of 1 and a remainder of 13..

How do you solve a 3 variable Diophantine equation?

Equations with more than 2 Variables. Now, consider the linear Diophantine equation in three variables a x + b y + c z = d . ax + by + cz = d. ax+by+cz=d.

What is the minimal solution of Diophantine equation?

The equation was eventually solved by Euler in the early 18th century, who also solved a number of other Diophantine equations. The smallest solution of this equation in positive integers is x = 226153980, y = 1766319049 (see Chakravala method).

How do you solve the Diophantus riddle?

d = d/6 + d/12 + d/7 + 5 + d/2 + 4 = 75d/84 + 9. Hence 9d/84 = 9 or d/84 = 1. So d = 84. Diophantus lived to the age of 84 years.

How do you prove Diophantine equation has no solutions?

Let a, b and c be integers with a0 and b0, and let d=gcd(a,b). If d does not divide c, then the linear Diophantine equation ax+by=c has no solution.

Is Diophantine equation solvable?

For instance, we know that linear Diophantine equations are solvable.

Are Diophantine equations hard?

Some Diophantine equations are easy, while some others are truly difficult. After some time spent with these equations, it might seem that no matter what powerful methods we learn or develop, there will always be a Diophantine equation immune to them, which requires a new trick, a better idea, or a refined technique.

What are the famous Diophantine equations?

The most famous diophantine equation is the Fermat equation xd + yd zd = 0. For d = 2 there are many integer solutions, and for d 3 there are no positive integer solutions. The proof of the second part is extremely deep and hard.

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