Question

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If x=2-√5/2+√5 and y=2+√5/2-√5,find the value of ( x²-y²)

Answer 1

rationalising the denominator of both the values of x and y we get

x= -9+4 root5

y=-9-4 root5

therefore , we calculate the value of x^2 - y^2 we get the answer as -144 root5