21x2-41x+10=0

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Solution for 21x2-41x+10=0 equation:



21x^2-41x+10=0
a = 21; b = -41; c = +10;
Δ = b2-4ac
Δ = -412-4·21·10
Δ = 841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{841}=29$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-41)-29}{2*21}=\frac{12}{42} =2/7 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-41)+29}{2*21}=\frac{70}{42} =1+2/3 $

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