22/7r^2=22

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

22/7r^2=22

We move all terms to the left:

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


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

r^2!=0/7

r^2!=√0

r!=0

r∈R


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}
$