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ProPeace
ProPeace ProPeace
  • 20-02-2015
  • Mathematics
Answered

\(9X^2-12X+4=0\)

X=?

Verified Answer :

konrad509
konrad509 konrad509
  • 20-02-2015

\(9x^2-12x+4=0\\ (3x-2)^2=0\\ 3x-2=0\\ 3x=2\\ x=\dfrac{2}{3}\)

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ValyRemus
ValyRemus ValyRemus
  • 20-02-2015

\(9x^2-12x+4=0\) 

\((3x)^2-2\cdot 2\cdot3x+2^2=0\)

\((3x-2)^2=0, but...(3x-2)^2 \geq 0\) , ∨ x∈R

\(So, (3x-2)^2=0\)

\(3x-2=0\) ⇒ \(3x=2\) ⇒ \(\boxed { x= \frac{2}{3} }\)

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