9x^2-19x+3x=0

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Solution for 9x^2-19x+3x=0 equation:



9x^2-19x+3x=0
We add all the numbers together, and all the variables
9x^2-16x=0
a = 9; b = -16; c = 0;
Δ = b2-4ac
Δ = -162-4·9·0
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-16}{2*9}=\frac{0}{18} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+16}{2*9}=\frac{32}{18} =1+7/9 $

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