12x^2-81x=0

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Solution for 12x^2-81x=0 equation:



12x^2-81x=0
a = 12; b = -81; c = 0;
Δ = b2-4ac
Δ = -812-4·12·0
Δ = 6561
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6561}=81$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-81)-81}{2*12}=\frac{0}{24} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-81)+81}{2*12}=\frac{162}{24} =6+3/4 $

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