Question

2ч4-4х2=0 помогите пож.та

Answer 1

поправлю решение
х=0

х=корень из 2

х= МИНУС корень из 2

 

 

 

 

Answer 2

2х^2(х^2-2)=0
2х^2=0 или х^2-2=0
х=0 или х=корень из 2

Answer 3

Solving the Equation 2x4 - 4x2 = 0

To solve the equation 2x^4 - 4x^2 = 0, we can factor out common terms and then solve for the values of x.

Factoring the Equation

First, let's factor out the common term, which is 2x^2: 2x^4 - 4x^2 = 0 2x^2(x^2 - 2) = 0

Finding the Solutions

Now, we can solve for x by setting each factor equal to zero: 1. 2x^2 = 0 2. x^2 - 2 = 0

Solution for 2x^2 = 0

To solve 2x^2 = 0, we divide both sides by 2: 2x^2 = 0 x^2 = 0 Taking the square root of both sides gives us: x = 0

Solution for x^2 - 2 = 0

To solve x^2 - 2 = 0, we add 2 to both sides of the equation: x^2 = 2 Taking the square root of both sides gives us: x = ±√2

Conclusion

Therefore, the solutions to the equation 2x^4 - 4x^2 = 0 are: x = 0 x = ±√2