Question

determine the nature x^2+5x+6=0​

Answer 1

Answer:

Real and distinct.

Step-by-step explanation:

x^2+5x+6=0
x^2+2x+3x+6 = 0
x(x+2) + 3(x+2) = 0
(x+2)(x+3) = 0
x=-2,-3.
D= b^2-4ac= 25- 4(1)(6)= 25-24=1
the roots are real and distinct.

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