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# Hi friends,

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Hi friends,

I'm asking quite a lot of questions on Sigma notation lately, I am working through a book and come right with a lot of them, however there are also a lot of them that I just cannot comprehend...I'm trying to up my game with Sigma notation. Please bear with me as I'm honestly learning a great deal from you all, I really appreciate all you do for me..oh, I have learnt on ChatGPT how to input the Sigma symbol...lol

Please help with this one...Solve x and y simultaneously if $$3y=1+x+x^2; \sum_{k=3}^4 x(k-2)^2=5y$$

Thanjk you all very much..it is appreciated!

Mar 15, 2023

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Hi Juriemagic,

$$\displaystyle 3y=1+x+x^2 \qquad \qquad \sum_{k=3}^4 x(k-2)^2=5y$$

Second one

$$x(3-2)^2+x(4-2)^2=5y\\ x+4x=5y\\ 5x=5y\\ x=y$$

Sub this into the first one ansd solve.

If you have problems let us know.  :)

Mar 15, 2023
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Hello Melody,

You know...I am out of words here...I really just do not think...honestly...Starting with 3, ending with 4...obviously the two terms must be added....and that equals 5y....I tend to make things way more difficult than they really are....Thank you Melody..appreciate

juriemagic  Mar 16, 2023
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I got y=1, and also x=1..

juriemagic  Mar 16, 2023
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You got it :)

Melody  Mar 17, 2023