33x^2-31x=0

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Solution for 33x^2-31x=0 equation:



33x^2-31x=0
a = 33; b = -31; c = 0;
Δ = b2-4ac
Δ = -312-4·33·0
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*33}=\frac{0}{66} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31)+31}{2*33}=\frac{62}{66} =31/33 $

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