Question

Find the solution of the quadratic equation 3√3x² + 10x + √3 = 0.

Answer 1

Given quadratic equation is :

3√3x² + 10x + √3 = 0.

∴ a = 3√3, b = 10 and c = √3.

∴ Roots of given quadratic equation are x = \(\frac{-b±\sqrt{b^2-4ac}}{{2a}}\) 

 = \(\frac{-10±\sqrt{10^2-4\times 3\sqrt 3\times \sqrt 3}}{{2\times 3\sqrt 3}}\) 

Hence, 

The solution of given quadratic equation are x = \(\frac{-1}{3\sqrt 3}\) 

And x = −√3.