SOLUTION: solve: (abs(x-1))^(x^2+3x)=(abs(x-1))^(5-x). Abs means Absolute

Algebra.Com
Question 1114915: solve: (abs(x-1))^(x^2+3x)=(abs(x-1))^(5-x). Abs means Absolute
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
 =   ====>  


x^2 + 3x = 5 - x  ====>


x^2 + 4x - 5 = 0


(x+5)*(x-1) = 0


The roots are  x= -5  and  x= 1.


Both the roots satisfy the original equation.


Answer.  The solutions are  x= -5  and  x= 1.




RELATED QUESTIONS

1) solve: abs(2y+4)=22-abs(6-2y) 2) solve:... (answered by lwsshak3)
abs(x+1)/abs(x-1)>=2 (answered by josgarithmetic)
Abs... (answered by pv=nrt15rcks)
{{{abs(3x + 1) + abs(3 - 2x) = 11}}} {{{x =... (answered by Fombitz,richwmiller,Edwin McCravy)
can you please help me solve these?? thanks! 1) abs(x/5)=2 2) 14+2... (answered by Jk22,jessica43)
solve 2abs(x-3)+5=15 abs stands for absolute number solve abs(3x-5)greater and equal... (answered by Nate)
Prove: abs(xy)=... (answered by robertb)
Solve... (answered by jim_thompson5910)
9. Solve... (answered by jim_thompson5910)