Respuesta :

arodri04

Answer:

x=-2 and x=0

Step-by-step explanation:

5(x-2)^2 =  20; divide by 5 both sides

(x-2)^2 = 4; take the square root of both sides

(x-2) = ±2, now set it equal to positive 2 and negative 2

x-2 = 2

x=4

AND

x-2 = -2

x=0

CHERLYNnotCHERRY

Answer:

The values of x is 0 and 4.

Step-by-step explanation:

You have to divide 5 by both sides;

[tex]5 {(x - 2)}^{2} = 20[/tex]

[tex] {(x - 2)}^{2} = 4[/tex]

You have to expand the brackets;

[tex] {x}^{2} - 4x +4 = 4[/tex]

[tex] {x}^{2} - 4 x = 0[/tex]

You have to factorize;

[tex]x(x - 4) = 0[/tex]

Lastly, you have to solve it;

[tex]x = 0[/tex]

[tex]x = 4[/tex]

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