Question

X¹+x²=7. x¹*x²=4.5 какие числа должны быть на x¹ и x²​

Answer 1

решение на фотографии

Answer 2

To solve the system of equations:

1. x¹ + x² = 7
2. x¹ * x² = 4.5

We can use substitution to find the values of x¹ and x².

Let's solve the first equation (1) for x¹:

x¹ = 7 - x²

Now, substitute this expression for x¹ in the second equation (2):

(7 - x²) * x² = 4.5

Now, expand and rearrange the equation:

7x² - x²² = 4.5

Now, bring all terms to one side of the equation:

x²² - 7x² + 4.5 = 0

This is a quadratic equation in terms of x². Let's solve it using factoring or the quadratic formula.

Unfortunately, this quadratic equation does not factor easily. So, we'll use the quadratic formula to find the values of x²:

x² = [ -(-7) ± √((-7)² - 4 * 1 * 4.5) ] / (2 * 1) x² = (7 ± √(49 - 18)) / 2 x² = (7 ± √31) / 2

So, we have two possible values for x²:

1. x² = (7 + √31) / 2
2. x² = (7 - √31) / 2

Now, let's find the corresponding values for x¹ using the equation x¹ = 7 - x²:

1. x¹ = 7 - (7 + √31) / 2 = (14 - 7 - √31) / 2 = (7 - √31) / 2
2. x¹ = 7 - (7 - √31) / 2 = (14 - 7 + √31) / 2 = (7 + √31) / 2

So, the solutions for the variables x¹ and x² are:

1. x¹ = (7 - √31) / 2 and x² = (7 + √31) / 2
2. x¹ = (7 + √31) / 2 and x² = (7 - √31) / 2