Solve the following quadratic equations by factorization:
(1/x-3)+(2/x-2)=8/x;x≠0,2,3
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Answer:
hey mate the equation is 5xsquare - 48x +48
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x = +4, +12/5
Step-by-step explanation:
x≠0,2,3
(1/x-3)+(2/x-2)=8/x
x (1/x-3)+ x(2/x-2) =8
x/(x-3) + 2x/(x-2) = 8
x(x-2) + 2x(x-3) = 8 (x-2)(x-3)
x² - 2x + 2x² - 6x = 8x² -40x + 48
5x² - 32x +48 = 0
5x² - 20x -12x +48 = 0
5x(x - 4) -12 (x - 4) = 0
(5x -12)(x-4) = 0
Therefore x = +4, +12/5
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