Question

${x}^{2} - x = x - 1$

Answer 1

$x^2 - x = x - 1 \\ x^2 - 2x + 1 = 0 \\\\\\ \Delta = b^2 - 4 \cdot a \cdot c \\ \Delta = 4 - 4 \cdot 1 \cdot 1 \\ \Delta = 4 - 4 = 0 \\\\\\ x = \frac{-b \pm \sqrt{\Delta}}{2a} \\\\ x = \frac{- (-2) \pm \sqrt{0}}{2 \cdot 1} \\\\ x = \frac{2}{2} = 1 \\\\\\ \boxed{\boxed{\rightarrow Resultado: x = 1}}$

Answer 2

Olá, boa noite ☺

Resolução:

x² - x = x - 1.

x² - x - x + 1 = 0.

x² - 2x + 1 = 0.

Coeficientes:

a=1 , b= -2 , c=1.

Valor de delta:

Δ=b²-4.a.c
Δ=(-2)² - 4.1.1.
Δ=4 - 4.
Δ=0.

Valores de x:

$\\ x= \dfrac{-b\pm \sqrt{\Delta} }{2a} \\ \\ x= \dfrac{2\pm 0 }{2} \\ \\ x'=\dfrac{2+ 0 }{2}=1 \\ \\ x''=\dfrac{2- 0 }{2}=1$

S={1}.

Bons estudos :)