Question

X⁴-x²-20=0 ..........​

Answer 1

Ответ:

на фото типо все есть а тут 20 слов ну типоооо

Answer 2

To solve the equation x⁴ - x² - 20 = 0, you can use a substitution to simplify it. Let's introduce a new variable:

Let y = x²

Now, the equation becomes:

y² - y - 20 = 0

This is a quadratic equation in y. To solve it, you can factor it or use the quadratic formula. Let's factor it:

(y - 5)(y + 4) = 0

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

1. y - 5 = 0 y = 5

2. y + 4 = 0 y = -4

Now that you have the values for y, you can go back to the original variable x:

1. For y = 5: x² = 5 x = ±√5

2. For y = -4: x² = -4

However, this results in a negative number inside the square root, which has no real solutions. So, there are no real solutions for this case.

Therefore, the solutions for the equation x⁴ - x² - 20 = 0 are x = √5 and x = -√5.