Question

(x-1)² -5 (x-1) +6=0

Answer 1

Explicação passo-a-passo:

(x - 1)² - 5(x - 1) + 6 = 0

x² - 2x + 1 - 5x + 5 + 6 = 0

x² - 7x + 12 = 0

$x = \frac{ - ( - 7) + - \sqrt{ {( - 7)}^{2} - 4 \times 1 \times 12} }{2 \times 1} \\ \\ x = \frac{7 + - \sqrt{49 - 48} }{2} \\ \\ x = \frac{7 + - \sqrt{1} }{2} \\ \\ x1 = \frac{7 + 1}{2} = \frac{8}{2} = 4 \\ \\ x2 = \frac{7 - 1}{2} = \frac{6}{2} = 3$

Answer 2

Explicação passo-a-passo:

(x-1)² -5 (x-1) +6=0

x²-2x*1+1²-5x+5+6=0

x²-2x+1-5x+5+6=0

x²-7x+12=0

a=1

b=-7

c=12

∆=b²-4ac

∆=(-7)²-4*1*12

∆=49-48

∆=1

-b±√∆/2a

7±√1/2*1

7±1/2

x¹=7+1/2=8/2=>4

x²=7-1/2=6/2=>3