r^2+2r+2=98

Solution for r^2+2r+2=98 equation:

r^2+2r+2=98

We move all terms to the left:

r^2+2r+2-(98)=0

We add all the numbers together, and all the variables

r^2+2r-96=0

a = 1; b = 2; c = -96;
Δ = b2-4ac
Δ = 22-4·1·(-96)
Δ = 388
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{388}=\sqrt{4*97}=\sqrt{4}*\sqrt{97}=2\sqrt{97}$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{97}}{2*1}=\frac{-2-2\sqrt{97}}{2}
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{97}}{2*1}=\frac{-2+2\sqrt{97}}{2}
$