If x=√5-2/ √5+2 y=√5+2 / √5-2 then find the value x²-xy+y²
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given x=√5-2/√5+2
and y=√5+2/√5-2
we have to find:
x²-xy+y²
Substituting values of x and y,we get:
(√5-2/√5+2)² - √5-2/√5+2×√5+2/√5-2 +(√5+2/√5-2)²
=5-4/5+4-1×1+5+4/5-4
=1/9-1/1+9/1
=73/9
and y=√5+2/√5-2
we have to find:
x²-xy+y²
Substituting values of x and y,we get:
(√5-2/√5+2)² - √5-2/√5+2×√5+2/√5-2 +(√5+2/√5-2)²
=5-4/5+4-1×1+5+4/5-4
=1/9-1/1+9/1
=73/9
ad7141:
hope its correct and helpful
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