Question

please help me with this hw

Answer 1

$▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's solve ~

• $\sf{4x {}^{2} + 100 = 0 }$

• $\sf 4{x}^{2} = - 100$

• $\sf {x}^{2} = - 100 \div 4$

• $\sf{x}^{2} = - 25$

• $\sf{x = \sqrt{ - 25} }$

• $\sf \sqrt{ {i}^{2} \times 25}$

• $\sf \pm5i$

The Correct choice is ~ C

Answer 2

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

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

• $\sf4 {x}^{2} + 100 = 0$

$\:$

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

• find x!

$\:$

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

$\sf \longmapsto4 {x}^{2} + 100 = 0$

$\sf \longmapsto4 {x}^{2} = - 100$

$\sf \longmapsto {x}^{2} = - 100 \div 4$

$\sf \longmapsto x = \sqrt{ - 25}$

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

$\:$

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

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

$\:$

I hope this helps!