Question

8х^2-8х ------------ : (2x-2) * х, если х = 2,5 ; -3,4 х+3

Answer 1

8х*(х-1). 1
4х
8х(х-1). 1. 4х. 4*2,5. 10
-----------* -----------= --------- = --------. = -------- =

х+3. 2(х-1). х+3. 2,5+3. 5,5
100 20 9
--------------=. -------=1------
55. 11. 11

Answer 2

To find the value of the expression $\frac{{8x^2 - 8x}}{{(2x-2) \cdot x}}$ when $x = 2.5$ and $-3.4x + 3$, we'll evaluate it for each value of $x$.

1. When $x = 2.5$: $\frac{{8 \cdot 2.5^2 - 8 \cdot 2.5}}{{(2 \cdot 2.5 - 2) \cdot 2.5}}$

Solving the expression step by step: $\frac{{8 \cdot 6.25 - 8 \cdot 2.5}}{{(5 - 2) \cdot 2.5}}$

$\frac{{50 - 20}}{{3 \cdot 2.5}}$

$\frac{{30}}{{7.5}}$

$4$

So, when $x = 2.5$, the value of the expression is $4$.

2. When $x = -3.4x + 3$: Replace $x$ with $-3.4x + 3$ in the expression:

$\frac{{8 \cdot (-3.4x + 3)^2 - 8 \cdot (-3.4x + 3)}}{{(2 \cdot (-3.4x + 3) - 2) \cdot (-3.4x + 3)}}$

This is a bit more complex to solve since $x$ itself is involved in the expression. We'll simplify it step by step:

$\frac{{8 \cdot (3 - 3.4x)^2 - 8 \cdot (3 - 3.4x)}}{{(6 - 6.8x - 2) \cdot (-3.4x + 3)}}$

$\frac{{8 \cdot (9 - 20.4x + 11.56x^2) - 8 \cdot (3 - 3.4x)}}{{(-6.8x + 4) \cdot (-3.4x + 3)}}$

$\frac{{72 - 163.2x + 92.48x^2 - 24 + 27.2x}}{{-23.12x + 12}}$

Combine like terms:

$\frac{{92.48x^2 - 136x + 48}}{{-23.12x + 12}}$

Now, we cannot find a specific numeric value for this expression without knowing the value of $x$. If you have a specific value for $x$ (e.g., $x = 1$ or $x = -2$), you can plug it in to get the corresponding result.