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2 years ago

Could you please help me with number 6 thank you sm !!

Mathematics

1 answer:

ololo11 [35]2 years ago

6 0

Answer:

A) a = 4, b = 3

Step-by-step explanation:

<u>Given equation:</u>

4/(x - 3) + 2/(x - 2) = 2

<u>Multiply all terms by (x - 3)(x - 2):</u>

4(x - 2) + 2(x - 3) = 2(x - 3)(x - 2)
2(x - 2) + (x - 3) = (x - 3)(x - 2)
2x - 4 + x - 3 = x² - 5x + 6
x² - 5x - 3x + 6 + 7 = 0
x² - 8x + 13 = 0
x = (8 ± √(8² - 4*13))/2 = (8 ± √12)/2 = (8 ± 2√3)/2 = 4 ± √3

<u>Compare this to the given form to get:</u>

a = 4, b = 3

Correct choice is A

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