17x2=12x

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Solution for 17x2=12x equation:



17x^2=12x
We move all terms to the left:
17x^2-(12x)=0
a = 17; b = -12; c = 0;
Δ = b2-4ac
Δ = -122-4·17·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-12}{2*17}=\frac{0}{34} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+12}{2*17}=\frac{24}{34} =12/17 $

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