22/7*r^2=616

Solution for 22/7*r^2=616 equation:

22/7r^2=616

We move all terms to the left:

22/7r^2-(616)=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


-616*7r^2+22=0

Wy multiply elements

-4312r^2+22=0

a = -4312; b = 0; c = +22;
Δ = b2-4ac
Δ = 02-4·(-4312)·22
Δ = 379456
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{379456}=616$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-616}{2*-4312}=\frac{-616}{-8624}
=1/14
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+616}{2*-4312}=\frac{616}{-8624}
=-1/14
$