Question

Решите задачу с помощью составления уравнения разность двух чисел равна 4 а разность их квадратов 56 Найдите эти числа​

Answer 1

Первое число равно х

второе число равно у

Answer 2

Solving the Problem Using Equations

To solve the problem of finding two numbers whose difference is 4 and the difference of their squares is 56, we can use algebraic equations.

Let's denote the two numbers as x and y. According to the given conditions, we have the following equations:

1. The difference of two numbers is 4: x - y = 4 2. The difference of their squares is 56: x^2 - y^2 = 56

Solving the Equations

We can solve the first equation for one of the variables and then substitute it into the second equation to find the values of the numbers.

From the first equation, we can express x in terms of y: x = y + 4

Substituting this expression for x into the second equation: (y + 4)^2 - y^2 = 56

Expanding and simplifying: y^2 + 8y + 16 - y^2 = 56 8y + 16 = 56 8y = 40 y = 5

Now that we have found the value of y, we can find the value of x using the first equation: x = 5 + 4 x = 9

Finding the Numbers

So, the two numbers that satisfy the given conditions are: x = 9 and y = 5