1.

Find the root of the following quadratisequation (if they exist) by theMethod of ouaduatic Formula.2x^2 + 5root3x + 6 = 0​​

Answer»

Step-by-step explanation:

GIVEN -

polynomial is 2x² + 5√3x + 6 = 0

To Find -

Roots of the polynomial by Quadratic formula.

Now,

2x² + 5√3x + 6 = 0

here,

a = 2

B = 5√3

c = 6

Quadratic formula = - b ± √b² - 4ac/2a

= -(5√3) ± √(5√3)² - 4 × 2 × 6/2(2)

= -5√3 ± √75 - 48/4

= -5√3 ± √27/4

= -5√3 ± 3√3/4

Hence,

The roots of the polynomial 2x² + 5√3x + 6 = 0 is

x = -5√3 + 3√3/4

= -2√3/4

= -√3/2

and

x = -5√3 - 3√3/4

= -8√3/4

= -2√3

Formula Used -

x = -b ± √b² - 4ac/2a


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