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

 Jun 26, 2024
 #1
avatar+1952 
+1

First, let's combine all our like terms and move all the terms to oneside. We get

6x221x31=0

 

Now, we use the quadratic equation. We get that

x=(21)±21)246(31)26

 

Simplifying furher. We get 2 values for x We get

x=1185+2112x=1185+2112

 

Clearly, the first value of x is greater in this case, so we have

x=1185+2112 as our final anwer. 

 

Thanks! :)

 Jun 26, 2024

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