Question

nature of root of 3x2+5x+6=0​

Answer 1

EXPLANATION.

Quadratic equation.

⇒ 3x² + 5x + 6 = 0.

As we know that,

⇒ D = Discriminant Or b² - 4ac.

⇒ D = (5)² - 4(3)(6).

⇒ D = 25 - 72.

⇒ D = - 47.

D < 0 Roots are imaginary.

                                                                                                                   

MORE INFORMATION.

Nature of the roots of the quadratic expression.

(1) = Real and unequal, if b² - 4ac > 0.

(2) = Rational and different, if b² - 4ac is a perfect square.

(3) = Real and equal, if b² - 4ac = 0.

(4) = If D < 0 Roots are imaginary and unequal Or complex conjugate.

Answer 2

Answer:

answer is -47

Step-by-step explanation:

3x²-5x+6

a=3

b=5

c=6

= b²-4ac

=5²-4(3)(6)

=25-72

= -47

b²-4ac<0 this roots are imaginary