Question

solve (x-1)²-5(x-1)-6=0​

Answer 1

Answer:

Step-by-step explanation:

( x -1)² - 5(x-1) -6 = 0

Let ( x-1 ) = y

So, the equation form is

y² -5y -6 = 0

D = b²-4ac

= (5)² -4×1×(-6)

= 25 +24

= 49

y = (-b±√D)/2a

y =( -(-5)±√49)/2

y = (5±7)/2

y = (5+7)/2

y = 12/2

y = 6

* y = (5-7)/2

y = -2/2

y = -1

Now putting x-1 = y

x-1=6

x=6+1

x=7

x-1=y

x=(-1+1)

x=0

Answer 2

Answer:correct answer is x=7

Step-by-step explanation:(x-1) ²-5(x-1) -6=0

x²+1-2x-5x+5-6=0 x²-2x-5x=0 x²-7x=0 x(x-7) =0 x-7=0/x x-7=0 x=7