28x2+84x+56=0

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Solution for 28x2+84x+56=0 equation:



28x^2+84x+56=0
a = 28; b = 84; c = +56;
Δ = b2-4ac
Δ = 842-4·28·56
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(84)-28}{2*28}=\frac{-112}{56} =-2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(84)+28}{2*28}=\frac{-56}{56} =-1 $

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