Question

√х+1=х+1 решите пожалуйста

Answer 1

X+1=x^2+1
-x^2-x=0
-x (x+1)=0
x1=0
x+1=0
x2=-1

Answer 2

Solution to the Equation √x + 1 = x + 1

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

1. Subtract 1 from both sides of the equation to isolate the square root term. 2. Square both sides of the equation to eliminate the square root. 3. Solve the resulting quadratic equation for x.

Let's go through each step in detail.

Step 1: Subtract 1 from Both Sides

Subtract 1 from both sides of the equation to isolate the square root term: √x = x

Step 2: Square Both Sides

Square both sides of the equation to eliminate the square root: (√x)^2 = x^2 x = x^2

Step 3: Solve the Quadratic Equation

Now, we have a quadratic equation x = x^2. Rearranging it, we get: x^2 - x = 0

We can factor out x: x(x - 1) = 0

So, the solutions for x are: x = 0 or x = 1

Therefore, the solutions to the equation √x + 1 = x + 1 are x = 0 and x = 1.