6x2+87=813

Solution for 6x2+87=813 equation:

6x^2+87=813

We move all terms to the left:

6x^2+87-(813)=0

We add all the numbers together, and all the variables

6x^2-726=0

a = 6; b = 0; c = -726;
Δ = b2-4ac
Δ = 02-4·6·(-726)
Δ = 17424
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17424}=132$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-132}{2*6}=\frac{-132}{12}
=-11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+132}{2*6}=\frac{132}{12}
=11
$