Question

6 x minus 2 upon x is equal to 1 solve quadratic equation by factorisation

Answer 1

$6x - \frac{2}{x} = 1 \\ \\ \frac{6 {x}^{2} - 2 }{x} = 1 \\ \\ 6 {x}^{2} - 2 = x \\ \\ 6 {x}^{2} - 2 - x = 0 \\ \\ 6 {x}^{2} - x - 2 = 0 \\ \\ 6 {x}^{2} - (4 - 3)x - 2 = 0 \\ \\ 6 {x}^{2} - 4x + 3x - 2 = 0 \\ \\ 2x(3x - 2) - 1(3x - 2) = 0 \\ \\ (3x - 2)(2x - 1) = 0 \\ \\ 3x - 2 = 0 \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: 2x - 1 = 0 \\ \\ \\ x = \frac{2}{3} \: \: \: or \: \: \: x = \frac{1}{2}$




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Answer 2

Answer: x:-2/3;X:-1/2

Step-by-step explanation:

6x-2/X=1

6x-2=X

6x-2-x=0

6x-4x+3x-2=0

2x(3x-2)-1(3x-1)=0

3x-2=0. ; 2x-1=0

X=2/3 ; X=1/2