Question

Помогите пожалуйста полный разбор Складiто систему рiвнянь за умовою задачi 1) Сумма двох чисел x i y дорiвнюэ 12 а iхнiй добуток 35 знайти цi числа. 2) Висота х прямокутника на 14см бiльша за його довжину у знайдiть сторони прямокутника якщо його дiагональ дорiвнюэ 13см.

Answer 1

Ответ:

см фото

Объяснение:

Answer 2

Problem 1: Finding the Two Numbers Given Their Sum and Product

To solve the problem, we need to find two numbers whose sum is 12 and whose product is 35.

Let's assume the two numbers are x and y.

We can set up the following equations based on the given information:

Equation 1: x + y = 12 (the sum of the two numbers is 12) Equation 2: x * y = 35 (the product of the two numbers is 35)

To find the values of x and y, we can use a method called substitution or elimination.

Let's solve the problem using the substitution method:

From Equation 1, we can express x in terms of y: x = 12 - y

Substituting this value of x into Equation 2, we get: (12 - y) * y = 35

Expanding the equation, we have: 12y - y^2 = 35

Rearranging the equation, we get a quadratic equation: y^2 - 12y + 35 = 0

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

Using the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions for x are given by: x = (-b ± √(b^2 - 4ac)) / (2a)

In our case, a = 1, b = -12, and c = 35.

Plugging in these values into the quadratic formula, we get: y = (-(-12) ± √((-12)^2 - 4 * 1 * 35)) / (2 * 1)

Simplifying the equation, we have: y = (12 ± √(144 - 140)) / 2 y = (12 ± √4) / 2 y = (12 ± 2) / 2

This gives us two possible values for y: 1. y = (12 + 2) / 2 = 14 / 2 = 7 2. y = (12 - 2) / 2 = 10 / 2 = 5

Now that we have the values of y, we can substitute them back into Equation 1 to find the corresponding values of x.

For y = 7: x = 12 - y = 12 - 7 = 5

For y = 5: x = 12 - y = 12 - 5 = 7

Therefore, the two numbers that satisfy the given conditions are x = 5 and y = 7.

Answer: The two numbers are 5 and 7.

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