What is the soloution of x^2-1/x^2+5x+4<_0
1 answer:
<span>You have the following inequality given in the problem shown above:
(x^2-1)/(x^2+5x+4)</span>≤<span>0
1. To solve it, you must factor it and then you must make the study of the signs.
2. Once you do the proccedure mentioned above, you obtain the following solutions:
-4<x<-1
-1<x</span>≤<span>1
3. You can graph the inaquality given in the problem, as you can see in the figure attached.</span>
(x^2-1)/(x^2+5x+4)</span>≤<span>0
1. To solve it, you must factor it and then you must make the study of the signs.
2. Once you do the proccedure mentioned above, you obtain the following solutions:
-4<x<-1
-1<x</span>≤<span>1
3. You can graph the inaquality given in the problem, as you can see in the figure attached.</span>
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Answer:
- sum: 3x² -4x -4
- product: (x -2)(3x +2)
Step-by-step explanation:
The areas of four regions are given. We can simply add them to find the sum. To express them as a product, we need to look at common factors.
<h3>Sum</h3>The total of the given area expressions is ...
3x² +2x -6x -4 = 3x² -4x -4 . . . . sum
<h3>Product</h3>Extending the table to show common factors of each row and column, we have ...
Since each cell of the table is the product of the corresponding common factors, we can write the area as the product ...
(x -2)(3x +2) . . . . product