Question

Решите уравнение (y-8) (y-4)/ y+4 =0

Answer 1

To solve the equation $\frac{(y-8) (y-4)}{y+4} = 0$, we need to find the values of $y$ that make the expression equal to zero.

To do this, we set each factor in the numerator equal to zero and solve for $y$:

1. $y - 8 = 0 \Rightarrow y = 8$
2. $y - 4 = 0 \Rightarrow y = 4$

Now, we need to check the denominator $y + 4$. For the equation to be valid, the denominator cannot be equal to zero. Therefore, we must exclude $y = -4$ from the solutions.

Thus, the solution to the equation is $y = 8$ or $y = 4$, excluding $y = -4$.