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Find the largest value of $x$ such that $3x^2 + 17x + 15 = 2x^2 + 21x + 12 - 5x^2 + 17x + 34.$

 
 Feb 4, 2025

Best Answer 

 #1
avatar+1346 
+1

 

Find the largest value of $x$ such that $3x^2 + 17x + 15 = 2x^2 + 21x + 12 - 5x^2 + 17x + 34.$    

 

Given                               3x2 + 17x + 15  =  2x2 + 21x + 12 – 5x2 + 17x + 34    

 

Combine like terms          6x2 . . .   We can stop here; no need to bother with the other terms.    

 

The highest order term is the "squared term" and it is positive, which means that the curve    

is a parabola opening upward, for which there is no largest value of x.  It continues forever.    

We could say it approaches infinity, with the caveat that infinity can never be used as a value.    

.   

 Feb 4, 2025
 #1
avatar+1346 
+1
Best Answer

 

Find the largest value of $x$ such that $3x^2 + 17x + 15 = 2x^2 + 21x + 12 - 5x^2 + 17x + 34.$    

 

Given                               3x2 + 17x + 15  =  2x2 + 21x + 12 – 5x2 + 17x + 34    

 

Combine like terms          6x2 . . .   We can stop here; no need to bother with the other terms.    

 

The highest order term is the "squared term" and it is positive, which means that the curve    

is a parabola opening upward, for which there is no largest value of x.  It continues forever.    

We could say it approaches infinity, with the caveat that infinity can never be used as a value.    

.   

Bosco Feb 4, 2025

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