5r2=47.1

Solution for 5r2=47.1 equation:

5r^2=47.1

We move all terms to the left:

5r^2-(47.1)=0

We add all the numbers together, and all the variables

5r^2-47.1=0

a = 5; b = 0; c = -47.1;
Δ = b2-4ac
Δ = 02-4·5·(-47.1)
Δ = 942
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{942}}{2*5}=\frac{0-\sqrt{942}}{10}
=-\frac{\sqrt{}}{10}
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{942}}{2*5}=\frac{0+\sqrt{942}}{10}
=\frac{\sqrt{}}{10}
$