If the difference between the number and it's recipoical is 24/5. Find the number
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Answer:
a. = - 5
Step-by-step explanation:
then, according to the question,
a-1/a=24/5
a^2-1=(24/5)a
5(a^2-1)=24a
5a^2+24a-5=0
5a^2+25a-a-5=0.
5a(a+5)-1(a+5)=0.
(5a-1)(a+5)=0.
5a-1=0,a=1/5
or, a+5=0,a=-5.
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