Question

Find the roots of the following equations, if they exist, by applying the quadratic formula: 

2√3x² - 5x + √3 = 0

Answer 1

The given equations is 2√3x² - 5x + √3 = 0

Comparing it with ax² + bx + c = 0.we get

a = 2√3, b = - 5 and c = √3

∴ Discriminant, D = b² - 4ac = (-5)² - 4 x 2√3 x √3 = 25 - 25 = 1 > 0

So, the given equation has real roots.

Now, √D = √1 = 1

Hence, √3/2 and √3/3 are the roots of the given equation.