a2+9a=14=0

Solution for a2+9a=14=0 equation:

a2+9a=14=0

We move all terms to the left:

a2+9a-(14)=0

We add all the numbers together, and all the variables

a^2+9a-14=0

a = 1; b = 9; c = -14;
Δ = b2-4ac
Δ = 92-4·1·(-14)
Δ = 137
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-\sqrt{137}}{2*1}=\frac{-9-\sqrt{137}}{2}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{137}}{2*1}=\frac{-9+\sqrt{137}}{2}
$