Question

Dada a função f(x)= x2-2x+1, determine x para, f(x)=0

Answer 1

f(x) = x^2 - 2x + 1

0 = x^2 - 2x + 1

x^2 - 2x + 1 = 0

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

Δ = b^2 - 4.a.c

Δ = (-2)^2 - 4.1.1

Δ = 4 - 4

Δ = 0

x = (- b +/- √Δ)/2 . a

x' = -(-2) + 0/2.1

x' = 2/2 = 1

x'' = 2 - 0/2.1

x'' = 2/2 = 1

Resposta: X = 1.