if a+1/a=17/4 , find the value of (a-1/a)
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a+1/a=17/4
=>(a+1/a)^2=(17/4)^2
=>a^2+1/a^2+2=289/16
=>a^2+1/a^2=289/16-2
=>a^2+1/a^2=257/16
=>a^2+1/a^2-2=257/16-2
=>(a-1/a)^2=225/16
=>(a-1/a)^2=(15/4)^2
=>a-1/a=15/4
=>(a+1/a)^2=(17/4)^2
=>a^2+1/a^2+2=289/16
=>a^2+1/a^2=289/16-2
=>a^2+1/a^2=257/16
=>a^2+1/a^2-2=257/16-2
=>(a-1/a)^2=225/16
=>(a-1/a)^2=(15/4)^2
=>a-1/a=15/4
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