22=22/7r^2

Solution for 22=22/7r^2 equation:

22=22/7r^2

We move all terms to the left:

22-(22/7r^2)=0


Domain of the equation: 7r^2)!=0

r!=0/1

r!=0

r∈R


We get rid of parentheses

-22/7r^2+22=0

We multiply all the terms by the denominator


22*7r^2-22=0

Wy multiply elements

154r^2-22=0

a = 154; b = 0; c = -22;
Δ = b2-4ac
Δ = 02-4·154·(-22)
Δ = 13552
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:

$\sqrt{\Delta}=\sqrt{13552}=\sqrt{1936*7}=\sqrt{1936}*\sqrt{7}=44\sqrt{7}$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-44\sqrt{7}}{2*154}=\frac{0-44\sqrt{7}}{308}
=-\frac{44\sqrt{7}}{308}
=-\frac{\sqrt{7}}{7}
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+44\sqrt{7}}{2*154}=\frac{0+44\sqrt{7}}{308}
=\frac{44\sqrt{7}}{308}
=\frac{\sqrt{7}}{7}
$