(2*3.14*(4.5^2))+(2*3.14*(4.5^2)*x)=197.82

Solution for (2*3.14*(4.5^2))+(2*3.14*(4.5^2)*x)=197.82 equation:

(2*3.14(4.5^2))+(2*3.14(4.5^2)*x)=197.82

We move all terms to the left:

(2*3.14(4.5^2))+(2*3.14(4.5^2)*x)-(197.82)=0

We add all the numbers together, and all the variables

(2*3.14(4.5^2)*x)-70.65=0


We calculate terms in parentheses: +(2*3.14(4.5^2)*x), so:

2*3.14(4.5^2)*x

Wy multiply elements

6x^2

Back to the equation:

+(6x^2)


a = 6; b = 0; c = -70.65;
Δ = b2-4ac
Δ = 02-4·6·(-70.65)
Δ = 1695.6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{1695.6}}{2*6}=\frac{0-\sqrt{1695.6}}{12}
=-\frac{\sqrt{}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1695.6}}{2*6}=\frac{0+\sqrt{1695.6}}{12}
=\frac{\sqrt{}}{12}
$