5+14c2=229

Solution for 5+14c2=229 equation:

5+14c^2=229

We move all terms to the left:

5+14c^2-(229)=0

We add all the numbers together, and all the variables

14c^2-224=0

a = 14; b = 0; c = -224;
Δ = b2-4ac
Δ = 02-4·14·(-224)
Δ = 12544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12544}=112$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-112}{2*14}=\frac{-112}{28}
=-4
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+112}{2*14}=\frac{112}{28}
=4
$