-756x^2+192x+5=0

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Solution for -756x^2+192x+5=0 equation:



-756x^2+192x+5=0
a = -756; b = 192; c = +5;
Δ = b2-4ac
Δ = 1922-4·(-756)·5
Δ = 51984
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{51984}=228$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(192)-228}{2*-756}=\frac{-420}{-1512} =5/18 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(192)+228}{2*-756}=\frac{36}{-1512} =-1/42 $

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