if x+1/x =5 find the value of x^2+1/x^2 and x^4+1/x^4
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The question gives you x+(1/x)=5 and it is asking for x^2+(1/x^2)
well, remember (a+b)^2=a^2+2ab+b^2
Let's square the question given, that gives you x^2+2*x*(1/x)+(1/x^2)=25
since 2*x*(1/x)=2,then
x^2+(1/x^2)=25-2=23
well, remember (a+b)^2=a^2+2ab+b^2
Let's square the question given, that gives you x^2+2*x*(1/x)+(1/x^2)=25
since 2*x*(1/x)=2,then
x^2+(1/x^2)=25-2=23
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