-p^2+8p+6=0

Solution for -p^2+8p+6=0 equation:

-p^2+8p+6=0

We add all the numbers together, and all the variables

-1p^2+8p+6=0

a = -1; b = 8; c = +6;
Δ = b2-4ac
Δ = 82-4·(-1)·6
Δ = 88
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{88}=\sqrt{4*22}=\sqrt{4}*\sqrt{22}=2\sqrt{22}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-2\sqrt{22}}{2*-1}=\frac{-8-2\sqrt{22}}{-2}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+2\sqrt{22}}{2*-1}=\frac{-8+2\sqrt{22}}{-2}
$