Question

Sendo f (x) = x² - 2x + 1, determine x para, f (x)= 0

Answer 1

Explicação passo-a-passo:

x² - 2x + 1 = 0

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

D = -2² - 4 . 1 . 1

D = 4 - 4

D = 0

x' = -(-2) + 0

2 . 1

x' = 2 + 0

2

x' = 2

2

x' = 1

x" = -(-2) - 0

2 . 1

x" = 2 - 0

2

x'' = 2

2

x'' = 1

Answer 2

$\begin{bmatrix}f=x^2-2x+1\\ f=0\end{bmatrix}\\\\\begin{bmatrix}x^2-2x+1=0\end{bmatrix}\\\\f=x^2-2x+1\\\\\mathrm{Substituir\:}x=1\\\\f=1^2-2\cdot \:1+1\\\\f=0\\\\x=1,\:f=0$