21m^2-13m+2=0

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Solution for 21m^2-13m+2=0 equation:



21m^2-13m+2=0
a = 21; b = -13; c = +2;
Δ = b2-4ac
Δ = -132-4·21·2
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-1}{2*21}=\frac{12}{42} =2/7 $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+1}{2*21}=\frac{14}{42} =1/3 $

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