Question

1/3x+1-1/2x-1+3/4=0,x=1[x≠1/2,1/3],Verify whether the given value of x is a solution of the quadratic equation or not.

Answer 1

Answer :

Given equation is

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

Now, putting x = 1 in left hand side of the given equation, we get

$\frac{1}{3 + 1} - \frac{1}{2 - 1} + \frac{3}{4} \\ \\ = \frac{1}{4} - \frac{1}{1} + \frac{3}{4} \\ \\ = \frac{(1 - 4 + 3)}{4} \\ \\ = \frac{0}{4} \\ \\ = 0$

This equals to the right hand side of the given equation.

Hence, x = 1 is a solution of the given equation.

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