Question

Find the solution of the quadratic equation `3sqrt(3)x^2 + 10x + sqrt(3) = 0`.

Answer 1

The given quadratic equation is `3sqrt(3)x^2 + 10x + sqrt(3) = 0` 

`3sqrt(3)x^2 + 10x + sqrt(3) = 0` 

⇒ `3sqrt(3)x^2 + 9x + x + sqrt(3) = 0` 

⇒ `3sqrt(3)x(x + sqrt(3)) + 1(x + sqrt(3)) = 0` 

⇒ `(x + sqrt(3))(3sqrt(3)x + 1) = 0` 

⇒ `x + sqrt(3) = 0` or `3sqrt(3)x + 1 = 0` 

⇒ `x = -sqrt(3)` or `x = -1/(3sqrt(3)) = -sqrt(3)/9` 

Hence, `-sqrt(3)` and `-sqrt(3)/9` are the solutions of the given equation.