Math, asked by wprasad2001, 10 months ago

please give my question of the answer​

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Answered by sadhnakumarijmp
1

Step-by-step explanation:

if 5x - 2y =7 and xy=2

by squaring both the side

(5x-2y)²=7²

(5x)²-20xy+(2y)²=49

(5x)²-20x4+(2y)²=49

(5x)²-40+(2y)²=49

(5x)²+(2y)²=49+40

(5x)²+(2y)²=89________(1)

(5x+2y)²=(5x)²+20xy+(2y)² [by applying the formula]

(5x+2y)²=(5x)²+20x2+(2y)²

(5x+2y)²=(5x)²+(2y)²+40

(5x+2y)²=89+40 [by putting the value from eq (1)]

(5x+2y)²=129

if a+1/a=17/4

(a+1/a)²=a²+(1/a)²+2ax1/a

(a+1/a)²=a²+(1/a)²+2

(17/4)²=a²+(1/a)²+2

(289/16)=a²+(1/a)²+2

289 - 32 = a²+(1/a)²

16

257/16=a²+(1/a)²_______(1)

(a-1/a)²=a²+(1/a)²-2ax1/a

(a-1/a)²=a²+(1/a)²-2

(a-1/a)²=257/16-2

(a-1/a)²=257-32

16

(a-1/a)²=225/16

(a-1/a)=√225/16

(a-1/a)=15/4

I hope this will help you

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