Question

Помогите, пожалуйста, решить уравнерие: x+1=12/x Спасибо.

Answer 1

2x =12 + 1
2x=13
x=13:2
x=6,5

Answer 2

Solving the Equation x + 1 = 12/x

To solve the equation x + 1 = 12/x, we can follow these steps:

1. Multiply both sides of the equation by x to clear the fraction: - x(x + 1) = 12

2. Expand the left-hand side of the equation: - x^2 + x = 12

3. Rearrange the equation into a quadratic equation form: - x^2 + x - 12 = 0

4. Solve the quadratic equation using the quadratic formula: - The quadratic formula is given by: x = (-b ± √(b^2 - 4ac)) / (2a), where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.

5. Substitute the values of a, b, and c into the quadratic formula and solve for x.

Let's calculate the solutions using the quadratic formula:

a = 1, b = 1, c = -12

Using the quadratic formula: x = (-1 ± √(1^2 - 4*1*(-12))) / (2*1)

x = (-1 ± √(1 + 48)) / 2

x = (-1 ± √49) / 2

x = (-1 + 7) / 2 or x = (-1 - 7) / 2

x = 6 / 2 or x = -8 / 2

x = 3 or x = -4

So, the solutions to the equation x + 1 = 12/x are x = 3 and x = -4.

[[9 #]] provides a solution to a similar equation.