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Found: 3

Problem #PRU-104090

Problems Algebra and arithmetic Rational functions Rational equations

Solve the equation: \[x + \frac{x}{x} + \frac{x}{x+\frac{x}{x}} = 1\]

Problem #PRU-35676

Problems Algebra and arithmetic Rational functions Inequalities. Method of Intervals. Set theory and logic Mathematical logic Mathematical logic (other)

Let \(x\) be a natural number. Among the statements:

\(2x\) is more than 70;

\(x\) is less than 100;

\(3x\) is greater than 25;

\(x\) is not less than 10;

\(x\) is greater than 5;

three are true and two are false. What is \(x\)?

Problem #PRU-35733

Problems Algebra and arithmetic Rational functions Identical transformations Set theory and logic Theory of algotithms Theory of algorithms (other)

A broken calculator carries out only one operation “asterisk”: \(a*b = 1 - a/b\). Prove that using this calculator it is possible to carry out all four arithmetic operations (addition, subtraction, multiplication, division).