To solve this problem, we make use of the discriminant.
The discriminant is a value which reveals the type of solution or roots and
equation has. It has the formula:
D = b^2 – 4 a c
where the coefficients are taken from the equation ax^2 +
bx + c. The conditions are:
<span>D < 0 no real
roots = two roots that are complex conjugates</span>
<span>D = 0 one real
zero</span>
<span>D > 0 two
distinct real roots</span>
Given the equation 2x^2 + 4x + 4, the coefficients are
therefore:
a = 2
b = 4
c = 4
Plugging these values into the formula:
D = 4^2 – 4 (2) (4)
D = -16
<span>Therefore the solutions or the roots are complex
conjugates or imaginary. Hence there is no real root.</span>
