Question

26/х=44/226/х=30/459:х=3:14

Answer 1

х = 13

х = 9

х = 42

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Answer 2

To solve the equation:

26/х = 44/226/х = 30/459:х = 3:14

Let's break it down step by step:

Step 1: Simplify the expression 44/226/х

To simplify a division of fractions, we invert the second fraction and multiply:

44/226/х = 44/226 * 1/х = 44/(226 * х)

Step 2: Simplify the expression 30/459:х

To simplify a division of fractions, we invert the second fraction and multiply:

30/459:х = 30/459 * 1/х = 30/(459 * х)

Step 3: Simplify the expression 3:14

To simplify a ratio, we find the common multiple of the numbers in the ratio and divide each number by the same factor:

3:14 = 3/1 : 14/1 = 3/1 * 1/14 = 3/14

Now we have the equation:

26/х = 44/(226 * х) = 30/(459 * х) = 3/14

Step 4: Solve for х

To solve for х, we'll equate the expressions:

26/х = 44/(226 * х) = 30/(459 * х) = 3/14

To find a common denominator, we'll multiply the denominators together:

14 * (226 * х) * (459 * х) = х * (226 * х) * (459 * х)

Simplifying the equation:

14 * 226 * 459 = 3 * х * х

Now we can solve for х:

14 * 226 * 459 = 3 * х^2

Multiply the numbers:

1435236 = 3 * х^2

Divide both sides by 3:

478412 = х^2

Take the square root of both sides:

х = ±√478412

So, the possible values for х are approximately ±691.674.

Please note that this solution assumes there are no errors or typos in the initial equation provided.