19r*r=1379

Solution for 19r*r=1379 equation:

19r*r=1379

We move all terms to the left:

19r*r-(1379)=0

Wy multiply elements

19r^2-1379=0

a = 19; b = 0; c = -1379;
Δ = b2-4ac
Δ = 02-4·19·(-1379)
Δ = 104804
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:

$\sqrt{\Delta}=\sqrt{104804}=\sqrt{4*26201}=\sqrt{4}*\sqrt{26201}=2\sqrt{26201}$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{26201}}{2*19}=\frac{0-2\sqrt{26201}}{38}
=-\frac{2\sqrt{26201}}{38}
=-\frac{\sqrt{26201}}{19}
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{26201}}{2*19}=\frac{0+2\sqrt{26201}}{38}
=\frac{2\sqrt{26201}}{38}
=\frac{\sqrt{26201}}{19}
$