help me with the following:
1.the sum of a whole number and its reciprocal is 10/3.what is the number?state a simpler way for solving this problem.
2.if x+1/x =√12,find x-1/x.
3.if 2x+3y=14 and 2x-3y=2,find xy.
4.if x-y=13 and xy=30,find x+y.
Answers
Answered by
2
Solution :
1) The sum of a whole number and its reciprocal is 10/3
ie x + 1/x = 10/3
( x² + 1 ) / x = 10 /3
3x² + 3 = 10x
3x² -10x +3 = 0
3x² -9x -x +3 =0
3x(x - 3) -1(x - 3) =0
( 3x -1 ) ( x - 3 ) =0
hence x = 3 0r 1/3
since a whole number x = 3
1) The sum of a whole number and its reciprocal is 10/3
ie x + 1/x = 10/3
( x² + 1 ) / x = 10 /3
3x² + 3 = 10x
3x² -10x +3 = 0
3x² -9x -x +3 =0
3x(x - 3) -1(x - 3) =0
( 3x -1 ) ( x - 3 ) =0
hence x = 3 0r 1/3
since a whole number x = 3
arjyamaan:
y didnt u answer the rest 3 questions?i need them please help.
Similar questions