-24x2-5x+1=0

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Solution for -24x2-5x+1=0 equation:



-24x^2-5x+1=0
a = -24; b = -5; c = +1;
Δ = b2-4ac
Δ = -52-4·(-24)·1
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-11}{2*-24}=\frac{-6}{-48} =1/8 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+11}{2*-24}=\frac{16}{-48} =-1/3 $

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