Question

знайдіть два натуральних числа якщо відомо, що друге на 3 більше ніж подвоєне перше, а їх добуток дорівнює 189

Answer 1

Ответ:

3 і 63

Объяснение:

63÷3=21

на 3 більше ніж перше число

Answer 2

Finding Two Natural Numbers

To find two natural numbers given the conditions, we can set up a system of equations based on the given information.

Let's denote the first natural number as x and the second natural number as y.

We know that the second number is 3 more than twice the first number, and their product is 189.

So, we can form the following equations: 1. y = 2x + 3 2. xy = 189

Solving the Equations

We can use the substitution method to solve for the values of x and y.

Substitute the value of y from the first equation into the second equation: x(2x + 3) = 189

Expanding and rearranging the equation: 2x^2 + 3x - 189 = 0

Now, we can solve this quadratic equation to find the values of x.

Calculating the Values

Using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a)

Where: - a = 2 - b = 3 - c = -189

Plugging these values into the quadratic formula, we get: x = (-3 ± √(3^2 - 4*2*(-189))) / (2*2) x = (-3 ± √(9 + 1512)) / 4 x = (-3 ± √1521) / 4 x = (-3 ± 39) / 4

So, we have two possible values for x: 1. x = (-3 + 39) / 4 = 36 / 4 = 9 2. x = (-3 - 39) / 4 = -42 / 4 = -10.5

Since we are looking for natural numbers, the value of x is 9.

Now, we can find the value of y using the equation y = 2x + 3: y = 2*9 + 3 = 18 + 3 = 21

Conclusion

Therefore, the two natural numbers that satisfy the given conditions are 9 and 21.