Apanel meets every six months to discuss their answers to the assigned questions. bill, ted, mark, and jim are members of the panel. which of the following could threaten the effectiveness of the panel?

a. the panel members are all different ages.
b. the panel members are all different nationalities.
c. the panel members are all male.
d. the panel members are all from various parts of the country.

No real solutions.

Step-by-step explanation:

x² + 3x + 3 = 0  This does not factor with integers, so I would use the quadratic formula.

Where ax² + bx + c = 0, x = { -b±√(b²-4ac) } / 2a

   Here a =1, b = 3, and c = 3  

          x = { -3 ± √(3² - 4*1*3) } / 2*1

          x = { -3 ± √(9-12) } / 2

          x = { -3 ± √-3 } / 2

          x = -3/2 + (√-3)/2    OR   x = -3/2 - (√-3)/2

There are no real solutions, because √-3 is not a real number.    

See the "b² - 4ac" part in the Quadratic Formula? Whenever that is negative, there are no real solutions, because you get a square root of a negative. There are no square roots for negative numbers in the Real number system.

I have included a graph in the xy-plane as a picture. See how the graph never touches the x-axis? That is another way for you to know there are no real solutions.

Hope this helps.