for what value of x will 2x+1/3x- 2 and 3x-4/x+8 represent the same fraction? also find the fraction
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Answer:
- 5 ± 2√66/3
Step-by-step explanation:
3x-4/x+8 = 2x+1/3x- 2
x - 13/3x + 10= 0
x² + 10x - 13/3 = 0
x = -10 ± √100 + 52/3 ÷ 2 = -10/2 ± √352/3 ÷ 2 = -5 ± 4√66/3 ÷ 2
= - 5 ± 2√66/3
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