Question

What are all the solutions to the equation x^5=x^3. Please help me, i need right now

Answer 1

`x^5=x^3\\ x^5-x^3=0\\ x^3(x^2-1)=0\\ x^3(x-1)(x+1)=0\\ x=0 \vee x=1 \vee x=-1`

Answer 2

`x^(5)=x^(3)\\ x^(5)-x^(3)=0\\ x^(3)(x^(2)-1)=0\\ x^(3)=0 \ \ \ \ x^(2)-1=0\\ x=0\\\\ \Delta=b^(2)-4ac=-4*1*(-1)=4\\ √(\Delta)=√(4)=2\\\\ x_(1)=(-b-\sqrt\Delta)/(2a)=(0-2)/(2)=-1\\\\ x_(2)=(-b+√(\Delta))/(2a)=(0+2)/(2)=1\\\\ x\in \{-1;0;1\}`