Question

Solve and Check 5z^2=-500

Answer 1

`5z^(2)` = -500

First, divide both sides by 5. / Your problem should look like:
`z^(2) = -(500)/(5)`
Second, simplify
`(500)/(5)` to 100. / Your problem should look like:
`z^(2) = -100`
Third, take the square root of both sides. / Your problem should look like:
`z = √(-100)` ,
`-√(-100)`
Fourth, simplify
`√(-100)` to
`( √(100i) )` / Your problem should look like: z = ±
`√(100i)`
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