Math, asked by iittssmmee88, 1 year ago

If (x-1)^x = (x-1)^4, find the solution. There are almost 4 solutions​

Answers

Answered by clockkeeper
1
 {(x - 1)}^{x} - {(x - 1)}^{4} = 0 \\ {(x - 1)}^{4} ( {(x - 1)}^{x - 4} - 1) = 0 \\ therefore \\ {(x - 1)}^{4} = 0 \: \: \: \: \: \: or \: \: {(x - 1)}^{x - 4} = 1 \\ x = 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: \: \: is \: possible \: when \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 4 \: or \: 2\: and\: also\:for\:0

iittssmmee88: Thanks a lott........
iittssmmee88: Did u take a common in the second step?
clockkeeper: yes
iittssmmee88: Thankksssss a lottt!!!!!!!..........
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