Linear Equations Homework: Which are Line Equations?

AI Thread Summary
The discussion centers on identifying which equations are linear. The user lists equations a, c, and f as linear, while b, d, and e are identified as non-linear. Responses confirm the user's selections as correct. The terminology clarification emphasizes the proper use of "linear equation." The thread concludes with validation of the user's understanding of linear equations.
Mrencko
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Homework Statement


i am doing homework about linear equations, i am just asking if i am ok, whith my selection
the question is: from the next equations, which ones are line equations, in x1,x2 and x3?

Homework Equations



equations.png
[/B]

The Attempt at a Solution


the next are line; a,c,f
the next arent line; b,d,e
correct me if i am wrong please[/B]
 
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Looks right.
 
thanks, i apreciate your help
 
Mrencko said:

Homework Statement


i am doing homework about linear equations, i am just asking if i am ok, whith my selection
the question is: from the next equations, which ones are line equations, in x1,x2 and x3?

Homework Equations



View attachment 100077 [/B]

The Attempt at a Solution

:[/B]
the next are line; a,c,f
the next arent line; b,d,e
correct me if i am wrong please
The terminology is "linear equation".

Your answers are correct.
 

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Thread 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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