Question

Please help me with this hw

Answer 1

========
`\huge{\bf{ Answer : }}` ========

`\bold{ \underline{Given : -}}`

• 
  `\sf4 {x}^(2) + 100 = 0`

`\:`

`\bold{ \underline{To \: Find : - }}`

• find x!

`\:`

`\bold{ \underline{Solution : - }}`

`\sf \longmapsto4 {x}^(2) + 100 = 0`

`\sf \longmapsto4 {x}^(2) = - 100`

`\sf \longmapsto {x}^(2) = - 100 / 4`

`\sf \longmapsto x = √( - 25)`

`\sf \longmapsto \boxed{ \bold{ \red{x = -5i \: \: or \: \: x = 5i}}}`

`\:`

`\bold{ \underline{ \: Conclusion : -}}`

• 
  `\rm x = - 5i \: \: or \: \: x = 5i \: \to(c.)`

`\:`

I hope this helps!

Answer 2

`▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪`

Let's solve ~

• 
  `\sf{4x {}^(2) + 100 = 0 }`

• 
  `\sf 4{x}^(2) = - 100`

• 
  `\sf {x}^(2) = - 100 / 4`

• 
  `\sf{x}^(2) = - 25`

• 
  `\sf{x = √( - 25) }`

• 
  `\sf \sqrt{ {i}^(2) * 25}`

• 
  `\sf \pm5i`

The Correct choice is ~ C