Answered

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

Sagot :

konrad509
[tex]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[/tex]
Yipes
[tex]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\\ \sqrt{\Delta}=\sqrt{4}=2\\\\ x_{1}=\frac{-b-\sqrt\Delta}{2a}=\frac{0-2}{2}=-1\\\\ x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{0+2}{2}=1\\\\ x\in \{-1;0;1\}[/tex]
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