ЯсноПонятно24

To solve this equation, we need to isolate the variable x on one side of the equation.

First, let's simplify the equation:

√x + 2 = 1 - x

Subtract 2 from both sides:

√x = -1 - x

Now, square both sides to eliminate the square root:

(√x)^2 = (-1 - x)^2 x = 1 + 2x + x^2

Rearrange the equation into a quadratic form:

x^2 + x - 1 = 0

Now, we can solve this quadratic equation using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

In this case, a = 1, b = 1, and c = -1:

x = (-1 ± √(1^2 - 41(-1))) / 2*1 x = (-1 ± √(1 + 4)) / 2 x = (-1 ± √5) / 2

Therefore, the solutions to the equation are:

x = (-1 + √5) / 2 and x = (-1 - √5) / 2