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avatar+826 

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

 Jul 18, 2024
 #1
avatar+42 
+2

\(\text{By graphing this on Desmos, you get -1.119 or 4.619, and we choose the bigger one, or 4.619} \)

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 Jul 18, 2024
 #2
avatar+129852 
+1

Rearrange as

 

6x^2 - 21x - 31 = 0

 

Using the Quad Formula, the largest x value is  [ 21 + sqrt [ 21^2 + 24 *31] ] / 12 ≈ 4.619    { as 3.141 found !!! }

 

cool cool cool

 Jul 18, 2024

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