(18x^2)-(21x)-4=0

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Solution for (18x^2)-(21x)-4=0 equation:



(18x^2)-(21x)-4=0
a = 18; b = -21; c = -4;
Δ = b2-4ac
Δ = -212-4·18·(-4)
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-21)-27}{2*18}=\frac{-6}{36} =-1/6 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21)+27}{2*18}=\frac{48}{36} =1+1/3 $

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