Question

Extra points! Thank you!

Answer 1

we have 2 real solutions

Explanation:

ax^2 + bx+c

discriminant

b^2-4ac

6x=-2x^2-3

subtract 6x from each side

0 = -2x^2 -6x-3

a= -2

b=-6

c=-3

b^2-4ac = (-6)^2 - 4(-2) (-3)

36 - 24

12

if > 0 2 real solutions

= 0 1 real solution

< 0 2 complex solution

since 12 > 0 we have 2 real solutions