Question

"Решите уравнение (х+1)+х=7, объясняя каждый шаг решения."

Answer 1

$(x + 1) + x =7$
$x+1+x=7$ (раскрываем скобки; так как перед скобкой плюс знаки не меняем)
$2x + 1 = 7$ (привели подобные)
$2x = 7 - 1$ ( чтобы найтинеизв. слагаемое надо из суммы вычесть известное)
$2x=6$
$x= 6:2$ (чтобы найти неизв. множитель надо произведение разделить на известный)
$x = 3$

Answer 2

Х +1 +х= 7
2х =-1 +7 ( складываем подобные : х+х=2х)
2х=6
х=3

Answer 3

Solution to the equation (x + 1) * x = 7

To solve the equation (x + 1) * x = 7, we will follow these steps:

Step 1: Expand the equation Step 2: Simplify the equation Step 3: Solve for x

Let's go through each step in detail:

Step 1: Expand the equation

To expand the equation (x + 1) * x = 7, we need to multiply the terms inside the parentheses:

x * x + 1 * x = 7

This simplifies to:

x^2 + x = 7

Step 2: Simplify the equation

Now that we have the equation x^2 + x = 7, we can simplify it further by moving all the terms to one side of the equation:

x^2 + x - 7 = 0

Step 3: Solve for x

To solve the quadratic equation x^2 + x - 7 = 0, we can use factoring, completing the square, or the quadratic formula. In this case, let's use the quadratic formula:

The quadratic formula is given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

For our equation x^2 + x - 7 = 0, the coefficients are: a = 1 b = 1 c = -7

Plugging these values into the quadratic formula, we get:

x = (-1 ± √(1^2 - 4 * 1 * -7)) / (2 * 1)

Simplifying further:

x = (-1 ± √(1 + 28)) / 2

x = (-1 ± √29) / 2

Therefore, the solutions to the equation (x + 1) * x = 7 are:

x = (-1 + √29) / 2 x = (-1 - √29) / 2

Please note that these are the exact solutions to the equation. If you need decimal approximations, you can calculate them using a calculator.

I hope this helps! Let me know if you have any further questions.