if the difference of a number and its reciprocal is -8/3, then find the number
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x - 1/x = -8/3
x^2 -1 = -8x/3
3x^2 - 3 = -8x
3x^2 + 8x - 3 =0
3x^2 +9x -x -3 =0
3x (x+3) -1(x+3) = 0
3x-1 = 0 or x+3 = 0
x =1/3 or x =-3
x^2 -1 = -8x/3
3x^2 - 3 = -8x
3x^2 + 8x - 3 =0
3x^2 +9x -x -3 =0
3x (x+3) -1(x+3) = 0
3x-1 = 0 or x+3 = 0
x =1/3 or x =-3
Answered by
0
Answer:
3, 1/3
3, 1/3Step-by-step explanation:
3, 1/3Step-by-step explanation:
- 3, 1/3Step-by-step explanation: 3,
- 3, 1/3Step-by-step explanation: 3, 1/3
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