-98+28x+6x^2=0

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Solution for -98+28x+6x^2=0 equation:



-98+28x+6x^2=0
a = 6; b = 28; c = -98;
Δ = b2-4ac
Δ = 282-4·6·(-98)
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28)-56}{2*6}=\frac{-84}{12} =-7 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+56}{2*6}=\frac{28}{12} =2+1/3 $

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