2a^2-46a=0

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Solution for 2a^2-46a=0 equation:



2a^2-46a=0
a = 2; b = -46; c = 0;
Δ = b2-4ac
Δ = -462-4·2·0
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-46)-46}{2*2}=\frac{0}{4} =0 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-46)+46}{2*2}=\frac{92}{4} =23 $

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