Question

find the factors m^2 - 2m + 1

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Answer 1

Answer: ( − 1 ) ( − 1 )

Step-by-step explanation:

$m^2-2m+1$ = $m^2$-m-m+1

                    = ( − 1 ) − 1 ( −1)

                    = ( − 1 ) ( − 1 )

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Answer 2

Answer:

$x = 1 \: or \: 1$

Step-by-step explanation:

m² - 2m + 1 = 0

By using quadratic formula,

a = 1 ; b = -2 ; c = 1

D = b² - 4ac

= (-2)² - 4 x 1 x 1

= 4 - 4 = 0

Therefore, it has two equal roots

$x = \frac{ - b}{2a} ,\frac{ - b}{2a}$

$= \frac{ - ( - 2)}{2 \times 1} ,\frac{ - ( - 2)}{2 \times 1}$

$= \frac{2}{2}, \frac{2}{2} = 1,1$