Question

X/(x^2-2) + 6(x^2-2)/x= 7 СРОЧНО!!!

Answer 1

решение задания смотри на фото

Answer 2

Sure, let's solve the equation step by step. The given equation is:

X/(x^2-2) + 6(x^2-2)/x = 7

Step 1: Find a common denominator for the fractions on the left side. The common denominator is x(x^2-2):

(x * X)/(x^2-2) + 6(x^2-2)/x = 7

Step 2: Combine the fractions:

(X + 6(x^2-2))/(x^2-2) = 7

Step 3: Multiply both sides by (x^2-2) to eliminate the denominator:

X + 6(x^2-2) = 7(x^2-2)

Step 4: Expand the equation:

X + 6x^2 - 12 = 7x^2 - 14

Step 5: Move all the x^2 terms to one side and the constants to the other side:

X - 7x^2 = -14 + 12

Step 6: Simplify:

X - 7x^2 = -2

Step 7: Move the term with X to the right side:

X = 7x^2 - 2

Now we have the solution to the equation: X = 7x^2 - 2.

Please double-check my work to ensure there are no mistakes. If you have any further questions or need clarification, feel free to ask!