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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 22, 2024
 #1
avatar+1950 
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Combining all like terms and moving all terms to one side we get

6x221x31=0

 

Now, we simply use the quadratic equation, we get

x1,2=(21)±(21)246(31)26

x1=(21)+118526,x2=(21)118526

x=21+118512,x=21118512

 

So our final answers are x=21+118512,x=21118512

 

Thanks! :)

 Jun 22, 2024

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