Answer :
Answer:
Given:
- S = 2πzx + 7πz²
Isolate x:
- 2πzx = S - 7πz²
Divide both sides by 2πz:
- x = (S - 7πz²)/(2πz)
- x = S/(2πz) - 3.5z
[tex]\\ \tt\longmapsto S=2\pi zx+7\pi z^2[/tex]
[tex]\\ \tt\longmapsto S=\pi z(2x+7z)[/tex]
[tex]\\ \tt\longmapsto 2x+7z=\dfrac{S}{\pi z}[/tex]
[tex]\\ \tt\longmapsto 2x=\dfrac{S}{\pi z}-7z[/tex]
[tex]\\ \tt\longmapsto 2x=\dfrac{S-7\pi z^2}{\pi z}[/tex]
[tex]\\ \tt\longmapsto x=\dfrac{S-7\pi z^2}{2\pi z}[/tex]
[tex]\\ \tt\longmapsto x=\pi z\left(\dfrac{S-7z}{2}\right)[/tex]