Question

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

Answer 1

Answer:

• A) a = 4, b = 3

Step-by-step explanation:

#6

Given equation:

• 4/(x - 3) + 2/(x - 2) = 2

Multiply all terms by (x - 3)(x - 2):

• 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

Compare this to the given form to get:

• a = 4, b = 3

Correct choice is A