Math, asked by ann1054, 10 months ago

Solve thr following equation by using quadratic formula...​

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Answered by ItzRuchika
3

Hey mate, here is your solution

Step-by-step explanation:

 \frac{1}{x}  -  \frac{1}{x - 2}  = 3 \\  \frac{x - 2 - x}{ {x}^{2} - 2x }  = 3 \\  - 2 = 3 {x}^{2}  - 6x \\ 3 {x}^{2}  - 6x + 2 = 0 \\  \\  \\ x =  \frac{ - ( - 6) +  \sqrt{ { (- 6)}^{2} - 4 \times 2 \times 3 } }{2 \times 3}  \\ x =  \frac{6 +  \sqrt{36 - 24} }{6}  \\ x =  \frac{6 +  \sqrt{12} }{6}  \\ x =  \frac{3 +  \sqrt{3} }{3}  \\ x = \frac{ \sqrt{3}( \sqrt{3} + 1)  }{3}

Answered by kavyasaxena106
1

Step-by-step explanation:

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