Question

d-)1x²-2x+1=0
equação e 2 grau

Answer 1

x² - 2x + 1 = 0

A= 1

B= - 2

C= 1

∆= b² - 4ac

∆= ( - 2)² - 4 • 1 • 1

∆= 4 - 4

∆= 0

x= - b ± √∆

_____________

2 • a

x= - ( - 2) ± √0 2 + 0

______________= _______

2 • 1 2

x' = 2 + 0 2

______ = _____ = 1

2 2

x'' = 2 - 0 2

______ = _____ = 1

2 2

S= ( 1)

Answer 2

Olá!

$d) \: 1 {x}^{2} - 2x + 1 = 0 \\ \\ a = 1 \\ b = ( - 2) \\ c = 1$

$\Delta = {b}^{2} - 4ac \\ \Delta = {( - 2)}^{2} - 4 \times 1 \times 1 \\ \Delta = 4 - 4 \\ \Delta = 0$

$x = \frac{ - b\pm \sqrt{\Delta} }{2a} \\ \\ x = \frac{ - ( - 2)\pm \sqrt{0} }{2 \times 1} \\ \\ x = \frac{2\pm0}{2} \\ \\ x_{1} = \frac{2 + 0}{2} = \frac{2}{2} = 1 \\ \\ x_{2} = \frac{2 - 0}{2} = \frac{2}{2} = 1$

$S = \{ 1 \}$

Espero ter ajudado! :)