Question

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Answer 1

Answer:

4x(x-1)-3x(x-2)/(x-2)(x-1)=15/2

4x^2-4x-3x^2-6x/x(x-1)-2(x-1)=15/2

4x^2-4x-3x^2-6x/x^2-x-2x+2=15/2

x^2-10x/x^2-3x+2=15/2

2(x^2-10x)=15(x^2-3x+2)

2x^2-20x=15x^2-45x+30

0=15x^2-2x^2-45x+20x+30

0=13x^2-25x+30

Answer 2

Answer:

x = 3 ; x = 10/13

Step-by-step explanation:

4x(x-1) - 3x(x-2)= 15/2 × (x-1)(x-2)

8x(x-1) - 6x(x-2) = 15(x-1)(x-2)

8x²- 8x - 6x² + 12x = 15x²-45x+30

2x²+ 4x = 15x²- 45x + 30

15x²- 2x² - 4x - 45x +30 = 0

13x² -49x +30 = 0

13x² - 39x - 10x +30 = 0

13x(x-3) - 10(x-3) = 0

(13x - 10) (x-3) = 0

x = 3 ; x = 10/13