Question

use algebra to solve 3x+4=1/x. the exact solutions are x=​

Answer 1

$3 {x}^{2} + 4x - 1 = 0 \\ x = \frac{ - 2 + \sqrt{7} }{3} \\ \frac{ - 2 - \sqrt{7} }{3}$

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Answer 2

The correct answer is "x = 1/3" or "x = -1".

Step-by-step explanation:

$The \ given \ expression \ is:\\\\3x+4=\frac{1}{x} \\\\On \ applying \ cross \ multiplication,we \ get\\\\3x^2+4x=1\\\\3x^2+4x-1=0\\\\On \ factorizing \ the \ above \ equation,we \ get\\\\3x^2+3x-x-1=0\\\\3x(x+1)-1(x+1)=0\\\\(3x-1)(x+1)=0\\\\3x-1=0\\\\3x=1\\\\x=\frac{1}{3} \\\\Or,\\\\x+1=0\\\\x=-1$

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