Answer:
The true solution of given polynomial is 1.732 , - 1.732
Step-by-step explanation:
Given polynomial as :
= ![\dfrac{9}{6 x - 18}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7B6%20x%20-%2018%7D)
Or,
= ![\dfrac{9}{6 (x - 3)}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7B6%20%28x%20-%203%29%7D)
Or,
= ![\dfrac{3}{2 (x - 3)}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B2%20%28x%20-%203%29%7D)
Taking away 2 as common from denominator of both side
So,
= ![\dfrac{3}{(x - 3)}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B%28x%20-%203%29%7D)
Now, cross multiplying both side
Or, x² × (x - 3) = 3 × (x - 3)
Or,
= ![\dfrac{(x -3)}{(x - 3)}](https://tex.z-dn.net/?f=%5Cdfrac%7B%28x%20-3%29%7D%7B%28x%20-%203%29%7D)
Or,
= 1
∴ x² = 3
i.e x = ![\pm \sqrt{3}](https://tex.z-dn.net/?f=%5Cpm%20%5Csqrt%7B3%7D)
Or, x = 1.732 , and x = - 1.732
So, The value of x = 1.732 , - 1.732
Hence, The true solution of given polynomial is 1.732 , - 1.732 Answer