Respuesta :

Answer:

See explanation

Step-by-step explanation:

Let the given equation be:

[tex]5 {x}^{2} - 400 = 0[/tex]

This implies that:

[tex]5 {x}^{2} = 400[/tex]

Divide through by 5 to get;

[tex] {x}^{2} = 80[/tex]

Take square root to obtain:

[tex]x = \pm \sqrt{80} [/tex]

This implies that

[tex]x = \pm4 \sqrt{5} [/tex]

[tex]x = - 4 \sqrt{5} \: or \: x = 4 \sqrt{5} [/tex]