49^2=3.14r^2

Solution for 49^2=3.14r^2 equation:

49^2=3.14r^2

We move all terms to the left:

49^2-(3.14r^2)=0

We add all the numbers together, and all the variables

-(3.14r^2)+2401=0

We get rid of parentheses

-3.14r^2+2401=0

a = -3.14; b = 0; c = +2401;
Δ = b2-4ac
Δ = 02-4·(-3.14)·2401
Δ = 30156.56
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{30156.56}}{2*-3.14}=\frac{0-\sqrt{30156.56}}{-6.28}
=-\frac{\sqrt{}}{-6.28}
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{30156.56}}{2*-3.14}=\frac{0+\sqrt{30156.56}}{-6.28}
=\frac{\sqrt{}}{-6.28}
$