First, we'll move all terms to the left
side:
2x^2 + 6x + 11 - 6 =
0
We'll combine like
terms:
2x^2 + 6x + 5 = 0
Now,
we'll verify if the equation has real solutions. For this reason, we'll calculate the
discriminant of the equation.
delta = b^2 - 4ac, where
ab,c, are the coefficients of the equation:
ax^2 + bx + c =
0
We'll identify a,b,c:
a =
2
b = 6
c =
5
delta = 36 - 40 = -4 <
0
Since delta is negative, then the equation
has no real roots, but it has complex roots.
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