7/22*44=r2

Solution for 7/22*44=r2 equation:

7/22*44=r2

We move all terms to the left:

7/22*44-(r2)=0

We add all the numbers together, and all the variables

-1r^2+7/22*44=0

We multiply all the terms by the denominator


-1r^2*22*44+7=0

Wy multiply elements

-968r^2*4+7=0

Wy multiply elements

-3872r^2+7=0

a = -3872; b = 0; c = +7;
Δ = b2-4ac
Δ = 02-4·(-3872)·7
Δ = 108416
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:

$\sqrt{\Delta}=\sqrt{108416}=\sqrt{7744*14}=\sqrt{7744}*\sqrt{14}=88\sqrt{14}$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-88\sqrt{14}}{2*-3872}=\frac{0-88\sqrt{14}}{-7744}
=-\frac{88\sqrt{14}}{-7744}
=-\frac{\sqrt{14}}{-88}
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+88\sqrt{14}}{2*-3872}=\frac{0+88\sqrt{14}}{-7744}
=\frac{88\sqrt{14}}{-7744}
=\frac{\sqrt{14}}{-88}
$