6x^2-93x-1425=0

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Solution for 6x^2-93x-1425=0 equation:



6x^2-93x-1425=0
a = 6; b = -93; c = -1425;
Δ = b2-4ac
Δ = -932-4·6·(-1425)
Δ = 42849
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{42849}=207$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-93)-207}{2*6}=\frac{-114}{12} =-9+1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-93)+207}{2*6}=\frac{300}{12} =25 $

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