6x^2+9x=81

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Solution for 6x^2+9x=81 equation:



6x^2+9x=81
We move all terms to the left:
6x^2+9x-(81)=0
a = 6; b = 9; c = -81;
Δ = b2-4ac
Δ = 92-4·6·(-81)
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-45}{2*6}=\frac{-54}{12} =-4+1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+45}{2*6}=\frac{36}{12} =3 $

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