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Let x be the positive number such that 2x^2=4x+9

If x can be written in simplified form as a+bc such that a, b, and c are positive integers, what is a+b+c?

 Feb 21, 2022
 #1
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2x2=4x+9

2x29=4x

2x24x9=0

x1,2=(4)±(4)242(9)22

x1,2=(4)±22222

x1=(4)+22222,x2=(4)22222

x=2+222,x=2222

In this case, it is

x=2+222

2+22+2=26

so 26 is your answer!

 Feb 21, 2022
 #2
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Thank you!

Guest Feb 24, 2022

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