
Сумма двух чисел 16, их произведение 64. Помогите какое число получится??


Ответы на вопрос




Solution:
Let's solve the problem step by step.
We have two numbers, and we know their sum and product. We can use these pieces of information to find the two numbers.
Let's call the two numbers x and y.
We know that: 1. x + y = 16 2. x * y = 64
We can use these equations to find the values of x and y.
First, let's find the values of x and y using the given information.
We can use the fact that the sum of the two numbers is 16 to express one of the numbers in terms of the other. Then we can substitute this expression into the equation for the product of the two numbers to solve for the values of x and y.
Let's start by expressing y in terms of x using the equation x + y = 16: y = 16 - x
Now, we can substitute this expression for y into the equation x * y = 64: x * (16 - x) = 64
Expanding and rearranging the equation gives us a quadratic equation: x^2 - 16x + 64 = 0
We can solve this quadratic equation to find the values of x and y.
Using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a)
Where: - a = 1 - b = -16 - c = 64
Plugging these values into the quadratic formula gives us: x = (16 ± √(256 - 256)) / 2 x = (16 ± 0) / 2 x = 8
So, we have found that x = 8.
Now, we can find the value of y using the equation y = 16 - x: y = 16 - 8 y = 8
Therefore, the two numbers are 8 and 8.
Answer:
The two numbers that satisfy the given conditions are 8 and 8.

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