Question

Helppppppppppppp me x^2-2=0

Answer 1

X^2-2=0
x^2=2
x=+- корень из 2

Answer 2

Х^2-2=0
х^2=2
х=+-корень из 2

Answer 3

Sure, I can help you with that. The equation you provided is x^2 - 2 = 0. To solve it, we can use the method of factoring or the quadratic formula.

Let's start with factoring:

x^2 - 2 = 0

We want to find two numbers that multiply to give -2 and add up to 0. In this case, the numbers are √2 and -√2. Therefore, we can factor the equation as follows:

(x - √2)(x + √2) = 0

Now, we set each factor equal to zero and solve for x:

x - √2 = 0 or x + √2 = 0

For the first equation, adding √2 to both sides gives:

x = √2

For the second equation, subtracting √2 from both sides gives:

x = -√2

So the solutions to the equation x^2 - 2 = 0 are x = √2 and x = -√2.

Alternatively, we can use the quadratic formula to solve the equation:

The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions for x can be found using the formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In our case, a = 1, b = 0, and c = -2. Plugging these values into the quadratic formula, we get:

x = (0 ± √(0^2 - 4(1)(-2))) / (2(1)) = (0 ± √(0 + 8)) / 2 = (0 ± √8) / 2 = ±√8 / 2 = ±(√(4*2)) / 2 = ±(2√2) / 2

Simplifying further:

x = ±√2

So once again, the solutions to the equation x^2 - 2 = 0 are x = √2 and x = -√2.