Math, asked by ramkumar6319, 1 year ago

Ifp+1/p=5 then find the value of (P-1/p) ^2

Answers

Answered by NeelamG
2

i hope it will help u

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Answered by visalavlm
0

Answer:

The value of  (p-\frac{1}{p} )^{2} = 21.

Step-by-step explanation:

Given that p+ \frac{1}{p} = 5

We know that (a + b)² = a²+b²+2ab

(a - b)² = a²+b²-2ab

p+\frac{1}{p} =5

Squaring on both sides

(p+\frac{1}{p})² = 5²

p^{2} +(\frac{1}{p} )^{2} +2p\frac{1}{p} = 25

p^{2} +(\frac{1}{p} )^{2} +2 = 25

p^{2} +(\frac{1}{p} )^{2} = 25 - 2 = 23

Now we find the value of (p-\frac{1}{p} )^{2}

(p-\frac{1}{p} )^{2} = p^{2} +(\frac{1}{p} )^{2} -2p\frac{1}{p}

            = p^{2} +(\frac{1}{p} )^{2} -2

            = 23 - 2

           = 21.

Therefore,  (p-\frac{1}{p} )^{2} = 21.

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