Solve 70x^2+100^2=c^1

$$70 { x }^{ 2 } + { 100 }^{ 2 } = { c }^{ 1 }$$

Solve for c

$$c=70x^{2}+10000$$

Solution Steps

Calculate 100 to the power of 2 and get 10000.

$$70x^{2}+10000=c^{1}$$

Calculate c to the power of 1 and get c.

$$70x^{2}+10000=c$$

Swap sides so that all variable terms are on the left hand side.

$$c=70x^{2}+10000$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{70\left(c-10000\right)}}{70}$$

$$x=\frac{\sqrt{70\left(c-10000\right)}}{70}$$

Solve for x

$$x=\frac{\sqrt{70\left(c-10000\right)}}{70}$$

$$x=-\frac{\sqrt{70\left(c-10000\right)}}{70}\text{, }c\geq 10000$$