if x-y = 5 and xy = 24 ,find the value of (x+y)
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= x = 5 + y
= ( 5 + y ) y = 24
= 5y + y² - 24 = 0
= y² + 5y - 24 = 0
= y² + 8y - 3y - 24 = 0
= y ( y + 8 ) - 3 ( y + 8 ) = 0
= ( y - 3 ) ( y + 8 ) = 0
= ( y - 3 ) ( y + 5 + 3 ) = 0
= ( y - 3 ) ( x + 3 ) = 0
= ( y - 3 ) = 0 × ( x + 3 )
= y - 3 = 0
=
= x = 5 + y
= x = 5 + 3
=
= so
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