What is the product of the 2 solutions of the equation x^2+3x-21=0

X²+3x-21=0

1) we solve this square equation:

x=[-3⁺₋√ (9+84) ] / 2 = (-3⁺₋√93) / 2

We have two solutions:

x₁ = (-3-√93) / 2

x₂ = (-3+√93) / 2

2) we compute the product of the 2 solutions found.

[ (-3-√93) / 2][ (-3+√93) / 2] = (-3-√93) (-3+√93) / 4=

= (9-93) / 4=-84/4=-21

Answer: the product of the 2 solutions of this equation is - 21