Question

X² - 8x = 0/x - 8 ≠ 0

Answer 1

x² - 8x = 0

х(х-8)=0

х-8=0

х=8

Ответ:

х1=0

х2=8

Я думаю что правильно, но, может и не правильно.

Answer 2

To solve the equation (X² - 8x)/(x - 8) ≠ 0, we need to find the values of x that make the expression on the left side non-zero.

First, we notice that the denominator x - 8 cannot be zero, as division by zero is undefined. So, x ≠ 8.

To determine the values of x that make the numerator X² - 8x non-zero, we can factor it:

X² - 8x = x(X - 8)

Now we have two factors: x and (X - 8). To make the expression non-zero, either x or (X - 8) (or both) must be non-zero.

If x ≠ 0 and X ≠ 8, then both factors are non-zero, and their product will be non-zero. Therefore, any value of x such that x ≠ 0 and X ≠ 8 will satisfy the inequality (X² - 8x)/(x - 8) ≠ 0.

In summary, the equation (X² - 8x)/(x - 8) ≠ 0 holds true for all values of x except x = 0 and x = 8.