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wlad13 [49]
3 years ago
11

Problem is in Picture

Mathematics
1 answer:
LiRa [457]3 years ago
7 0

Answer:

Try using the app Photo-math... it really helps

Step-by-step explanation:

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I need help in partial fraction!! With simple explaination would be nice!
WITCHER [35]
\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}

The degree of the numerator (4) is larger than the degree of the denominator (3), so first you need to divide. (Added screenshot of long division procedure.)

\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}=x-\dfrac{4x^2-17x+10}{x(x^2-3)}

Now the second term can be decomposed into partial fractions.

\dfrac{4x^2-17x+10}{x(x^2-3)}=\dfrac{r_1}x+\dfrac{r_2x+r_3}{x^2-3}
\dfrac{4x^2-17x+10}{x(x^2-3)}=\dfrac{r_1(x^2-3)+x(r_2x+r_3)}{x(x^2-3)}
4x^2-17x+10=r_1(x^2-3)+x(r_2x+r_3)
4x^2-17x+10=(r_1+r_2)x^2+r_3x-3r_1
\implies\begin{cases}r_1+r_2=4\\r_3=-17\\-3r_1=10\end{cases}\implies r_1=-\dfrac{10}3,r_2=\dfrac{22}3,r_3=-17=-\dfrac{51}3
\implies\dfrac{4x^2-17x+10}{x(x^2-3)}=-\dfrac{10}{3x}+\dfrac{22x-51}{x^2-3}

So

\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}=x+\dfrac{10}{3x}-\dfrac{22x-51}{x^2-3}

3 0
3 years ago
How can you find the measurement of an missing
Harman [31]
Wild guess?



---------------------------
8 0
3 years ago
What is the total amount and the amount of interest earned on $6,500 at 6% for 25 years?
Deffense [45]
Here's the equation for one year:
0.06(6500) + 6500
But because it is 25 years:
25(0.06(6500)) + 6500
1.5(6500) + 6500
We can make it simpler:
2.5(6500)
The total amount is $16350
3 0
3 years ago
The larger triangle is the image of the smaller triangle after a dilation. The center of the dilation is (−2,−2). Two triangles
Usimov [2.4K]

Answer:

The scale factor is -1/4.

Step-by-step explanation:

5 0
3 years ago
Find the area of the rectangle in cm2<br> 12 CM<br> 5 CM
Rom4ik [11]

Answer:

56

Step-by-step explanation:

12CMx

5M

7 0
3 years ago
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