14x+2x^2=156

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Solution for 14x+2x^2=156 equation:



14x+2x^2=156
We move all terms to the left:
14x+2x^2-(156)=0
a = 2; b = 14; c = -156;
Δ = b2-4ac
Δ = 142-4·2·(-156)
Δ = 1444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1444}=38$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-38}{2*2}=\frac{-52}{4} =-13 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+38}{2*2}=\frac{24}{4} =6 $

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