r2-30r+29=0

Solution for r2-30r+29=0 equation:

r2-30r+29=0

We add all the numbers together, and all the variables

r^2-30r+29=0

a = 1; b = -30; c = +29;
Δ = b2-4ac
Δ = -302-4·1·29
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-28}{2*1}=\frac{2}{2}
=1
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+28}{2*1}=\frac{58}{2}
=29
$