stevenl723
The sum of a number and its reciprocal is 5 1/5.
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UnkleRhaukus
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take a guess
stevenl723
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do I have to convert the mixed fraction to a improper fraction?
UnkleRhaukus
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if you can't see the answer staring at you
lgbasallote
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sadly, i cannot see the answer staring at me either
stevenl723
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\[x^2+1-5\frac{1 }{ 5}=0?\]
zzr0ck3r
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5 and 1/2 what does and mean? and what is the recipicle of 5?
stevenl723
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1/5
zzr0ck3r
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so what does and mean?
stevenl723
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but I don't get what the question is asking.. it says what is the reciprocal of 5 and 1/5... but how is it 5 or 1/5?
zzr0ck3r
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its asking what two numbers can you add together and get 5 and 1/2
or what numbers can you add together and get 5+1/2
note: 5 is the recipicle of 1/5 and vice versa
lgbasallote
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5 and 1/5*
zzr0ck3r
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:)
zzr0ck3r
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5+1/5 = 5 and 1/5
5^(-1) = 1/5
zzr0ck3r
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hence "the answer is stairing you in the face"
stevenl723
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OH.... so its 5+1/5 not 5 1/5... i was thinking something differently.. thanks
stevenl723
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s othe answer is 5 or 1/5 hahaha
stevenl723
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So there is no real calculation needed for this question?
UnkleRhaukus
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\[x+\frac 1x=5~\frac 15\]\[\frac {x^2+1}x=\frac {26}5\]\[x^2+1=\left(\frac {26}5\right)x\]\[x^2-\left(\frac{26}5\right)x+1=0\]
\[x_{1,2}=\frac{-(-\frac{26}5)\pm\sqrt{(-\frac{26}5)^2-4}}{2}\]\[\qquad=\frac{\frac{26}5\pm\sqrt{\frac{676}{25}-4}}{2}\]\[\quad=\quad...\]
AmberCat21
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x+ 5/26