28x2+39x+5=0

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Solution for 28x2+39x+5=0 equation:



28x^2+39x+5=0
a = 28; b = 39; c = +5;
Δ = b2-4ac
Δ = 392-4·28·5
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{961}=31$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(39)-31}{2*28}=\frac{-70}{56} =-1+1/4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(39)+31}{2*28}=\frac{-8}{56} =-1/7 $

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