28x^2+25x+3=0

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Solution for 28x^2+25x+3=0 equation:



28x^2+25x+3=0
a = 28; b = 25; c = +3;
Δ = b2-4ac
Δ = 252-4·28·3
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-17}{2*28}=\frac{-42}{56} =-3/4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+17}{2*28}=\frac{-8}{56} =-1/7 $

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