Question

В якому тризначному числі квадрат цифри десятків дорівнює потроєній сумі цифр сотень та одиниць?​

Answer 1

Quadratic Equation for Three-Digit Number

To find a three-digit number where the square of the tens digit equals three times the sum of the hundreds and units digits, we can represent the number as "abc," where a is the hundreds digit, b is the tens digit, and c is the units digit.

Let's denote the three-digit number as "abc."

Formulating the Equation

The given condition can be expressed as: b^2 = 3(a + c)

Solving for the Three-Digit Number

To solve for the three-digit number, we can use a systematic approach to test different values for a, b, and c that satisfy the given condition.

Let's start by testing different values for a, b, and c to find the three-digit number that satisfies the given condition.

Testing Different Values

We can start by testing different values for a, b, and c to find a three-digit number that satisfies the given condition.

Let's consider a few examples: 1. If a = 1, b = 2, and c = 3: - The three-digit number is 123. - The equation becomes: 2^2 = 3(1 + 3), which is not true.

2. If a = 1, b = 4, and c = 5: - The three-digit number is 145. - The equation becomes: 4^2 = 3(1 + 5), which is also not true.

3. If a = 2, b = 6, and c = 8: - The three-digit number is 268. - The equation becomes: 6^2 = 3(2 + 8), which is not true.

Conclusion

After testing different values for a, b, and c, we find that there is no three-digit number where the square of the tens digit equals three times the sum of the hundreds and units digits. Therefore, there is no solution to this specific condition.