10x^2+9=819

Solution for 10x^2+9=819 equation:

10x^2+9=819

We move all terms to the left:

10x^2+9-(819)=0

We add all the numbers together, and all the variables

10x^2-810=0

a = 10; b = 0; c = -810;
Δ = b2-4ac
Δ = 02-4·10·(-810)
Δ = 32400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{32400}=180$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-180}{2*10}=\frac{-180}{20}
=-9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+180}{2*10}=\frac{180}{20}
=9
$