x = root2 +1 / root2 - 1 and y = root2 - 1 / root2+1 find the value of x²+y²
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Step-by-step explanation:
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Answered by
2
Step-by-step explanation:
X=√2+1/√2-1=3+2√2
y=3-2√2
(rationalize X and y)
x^2+y^2=(X+y)^2-2xy
x^2+y^2=(3+2√2+3-2√2)^2-2(3+2√2)(3-2√2)
x^2+y^2=(9)^2-2(9-8)
x^2+y^2=81-2=79
the answer is 79
hope it helps
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