15-19a^2=-1885

Solution for 15-19a^2=-1885 equation:

15-19a^2=-1885

We move all terms to the left:

15-19a^2-(-1885)=0

We add all the numbers together, and all the variables

-19a^2+1900=0

a = -19; b = 0; c = +1900;
Δ = b2-4ac
Δ = 02-4·(-19)·1900
Δ = 144400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144400}=380$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-380}{2*-19}=\frac{-380}{-38}
=+10
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+380}{2*-19}=\frac{380}{-38}
=-10
$