Math, asked by nandanisolanki, 3 months ago

if x+y=1 and xy=12 find :- i)x-y and x^2 - y^2​

Answers

Answered by guruprasada173
0

Answer:

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Answered by ravi2303kumar
0

Answer:

Step-by-step explanation:

given,

x+y = 1  and xy = 12

take (x+y) = 1

squaring on both sides,

 (x+y)² = 1²

  x²+y²+2(xy) = 1

=> x²+y²+2(12) = 1

=> x²+y² = 1-24

=> x²+y² = -23

consider, (x-y)²

  = x²+y²-2(xy)

  = -23 -2(12)

  = -23 -24

  = -47

=> x-y = √-47

so, x²-y² = (x+y)(x-y) = 1(√-47)

                                 = √-47

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