I have this equation x^{(x^2-3x)}=x^2 I've found all roots except x = -1. Can somebody help me?
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Originally Posted by SweatingBear I have this equation x^{(x^2-3x)}=x^2 I've found all roots except x = -1. Can somebody help me? Since the bases are equal, the powers must be equal. So
Originally Posted by Prove It Since the bases are equal, the powers must be equal. So erm, x=1 is an obvious solution. x=0 is worth considering but fails in this case. The other two roots are roots of x^2-3x-2=0. These are not -1 and 3.
Originally Posted by a tutor erm, x=1 is an obvious solution. x=0 is worth considering but fails in this case. The other two roots are roots of x^2-3x-2=0. These are not -1 and 3. Oops, I don't know how I could have gotten my factorisation wrong, sorry...
and I missed x=-1.
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