r2=100r=

Solution for r2=100r= equation:

r2=100r=

We move all terms to the left:

r2-(100r)=0

We add all the numbers together, and all the variables

r^2-100r=0

a = 1; b = -100; c = 0;
Δ = b2-4ac
Δ = -1002-4·1·0
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-100}{2*1}=\frac{0}{2}
=0
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+100}{2*1}=\frac{200}{2}
=100
$