18x2-31x=0

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Solution for 18x2-31x=0 equation:



18x^2-31x=0
a = 18; b = -31; c = 0;
Δ = b2-4ac
Δ = -312-4·18·0
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{961}=31$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-31)-31}{2*18}=\frac{0}{36} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31)+31}{2*18}=\frac{62}{36} =1+13/18 $

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