9x^2+6=861

Solution for 9x^2+6=861 equation:

9x^2+6=861

We move all terms to the left:

9x^2+6-(861)=0

We add all the numbers together, and all the variables

9x^2-855=0

a = 9; b = 0; c = -855;
Δ = b2-4ac
Δ = 02-4·9·(-855)
Δ = 30780
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{30780}=\sqrt{324*95}=\sqrt{324}*\sqrt{95}=18\sqrt{95}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18\sqrt{95}}{2*9}=\frac{0-18\sqrt{95}}{18}
=-\frac{18\sqrt{95}}{18}
=-\sqrt{95}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18\sqrt{95}}{2*9}=\frac{0+18\sqrt{95}}{18}
=\frac{18\sqrt{95}}{18}
=\sqrt{95}
$