Question

1/x+7+1/x+9=1/x+6+1/x+10 than x equal to​

Answer 1

Given Equation :

• $\sf{ \dfrac{1}{x} + 7 + \dfrac{1}{x} + 9 = \dfrac{1}{x} + 10}$

Let us take the LCM to make this problem a little less scary xD xD

$\sf{ \dfrac{1 + 7x + 1 + 9}{x} = \dfrac{1 + 10x}{x} }$

Simplifying it further,

$\sf{ \dfrac{16x + 2}{x} = \dfrac{1 + 10x}{x} }$

Cross Multiplying both the equations,

$\sf{x(16x + 2) = x(1 + 10x)}$

$\sf{ {16x}^{2} + 2x = x + {10x}^{2} }$

$\sf{ {16x}^{2} - {10x}^{2} + 2x - x = 0}$

$\sf{ {6x}^{2} + x = 0}$

After solving the above equation, we get the value of x as,

$\boxed{\sf{x=\dfrac{1}{6}}}$ or $\boxed{\sf{x=0}}$