Respuesta :

Answer:

x = [tex]\frac{1}{10}[/tex]

Step-by-step explanation:

Given

100x² - 20x + 1 = 0 ← this is a perfect square

(10x - 1)² = 0, thus

10x - 1 = 0 ( add 1 to both sides )

10x = 1 ( divide both sides by 10 )

x = [tex]\frac{1}{10}[/tex]

Answer:

Step-by-step explanation:

100x^2-20x+1=0

100x^2-(10+10)X+1=0

100x^2-10x-10x+1=0

10x(10x-1)-1(10x-1)=0

(10x-1)(10x-1)=0

So roots are X=1/10,1/10