3x-21x^2=0

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Solution for 3x-21x^2=0 equation: 



3x-21x^2=0

a = -21; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-21)·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*-21}=\frac{-6}{-42}
=1/7
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-21}=\frac{0}{-42}
=0
$

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