[tex] 5z^{2} [/tex] = -500
First, divide both sides by 5. / Your problem should look like: [tex] z^{2} = -\frac{500}{5} [/tex]
Second, simplify [tex] \frac{500}{5} [/tex] to 100. / Your problem should look like: [tex] z^{2} = -100[/tex]
Third, take the square root of both sides. / Your problem should look like: [tex]z = \sqrt{-100} [/tex] , [tex] -\sqrt{-100} [/tex]
Fourth, simplify [tex] \sqrt{-100} [/tex] to [tex]( \sqrt{100i} )[/tex] / Your problem should look like: z = ±[tex]\sqrt{100i} [/tex]
Fifth, 10 × 10 = 100, so the square root of 100 is 10. / Your problem should look like: z = ±10i
Answer: z = ±10i OR z = 10i, -10i
