Question

Determine the nature of the roots of the quadratic equation 3y²+9y+4=0

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Answer 1

Answer:

For determining the nature of roots, use discriminant formula i.e

$\orange {\bold{d = {b}^{2} - 4ac}}$

Here

Comparing the equation with general formula of quadratic equation

a = 3

b = 9

c = 4

$d = b {}^{2} - 4ac$

$d = {9}^{2}$

$d = {9}^{2} - (4 \times 3 \times 4)$

$d = 81 - 48$

$d = 33$

Since D is greater than 1, it has real and distinct roots