Question

Решите X+ Корень из 2-x=0

Answer 1

X^2+2-x=0
x^2-x+2=0
D=1-4*2=-7<0

Answer 2

To solve the equation $x + \sqrt{2 - x} = 0$, we need to find the value(s) of $x$ that satisfy the equation. Here's how you can do it step by step:

Step 1: Move the square root term to the other side of the equation: $x = -\sqrt{2 - x}$

Step 2: Square both sides of the equation to eliminate the square root: $x^2 = (-\sqrt{2 - x})^2$ $x^2 = 2 - x$

Step 3: Move all terms to one side of the equation to set it equal to zero: $x^2 + x - 2 = 0$

Step 4: Factor the quadratic equation: $(x + 2)(x - 1) = 0$

Step 5: Set each factor to zero and solve for $x$: $x + 2 = 0 \quad \text{or} \quad x - 1 = 0$

Solving for $x$ in each case: $x = -2 \quad \text{or} \quad x = 1$

So, the solutions to the equation are $x = -2$ and $x = 1$.