Question

Уровнение X-6 ___ = X^2-36

Answer 1

(x-6)/(х²-36)=0 
ОДЗ: х²-36≠0; х≠-6;6 
х-6=0 
х=6 ∉ ОДЗ 
Решений нет

Answer 2

To solve the equation X - 6 = X^2 - 36, we can set it to zero and then try to find the values of X that satisfy the equation. So, the equation becomes:

X^2 - X - 30 = 0

Now, we have a quadratic equation in the standard form (ax^2 + bx + c = 0) where a = 1, b = -1, and c = -30. To solve for X, we can use factoring, completing the square, or the quadratic formula. In this case, we'll use factoring.

Step 1: Factor the quadratic equation.

X^2 - X - 30 = (X - 6)(X + 5) = 0

Step 2: Set each factor to zero and solve for X.

Setting (X - 6) = 0, we get X = 6 Setting (X + 5) = 0, we get X = -5

So, the solutions for the original equation are X = 6 and X = -5.