Answer:
c = 196
Step-by-step explanation:
To obtain a perfect square trinomial
Add ( half the coefficient of the x- term )² to x² + 28x
x² + 2(14)x + (14)², that is
x² + 28x + 196
= (x + 14)² ← a perfect square
area = ( top rule + bottom rule ) × height / 2
area = ( 2 + 3 ) × 4 / 2
area = 5 × 4 / 2
area = 20 / 2
area = 10
64 - 9 = 55 \sqrt{55} = 7.4161984871
7.4161984871/2 ≈3.7
Answer:
base = 5.6 cm
Step-by-step explanation:
area of a triangle = 1/2 * base * height
area = 5.88 cm²
height = 2.1 cm
5.88 = 1/2 * base * 2.1
5.88 = 1.05 base
5.88 / 1.05 = base
base = 5.6 cm
For this case we must find the solution of the following quadratic equation:

Where:

Then, the solution is given by:

Substituting the values:

By definition we have:

Thus, we have two complex roots.
Answer:
The equation has no real roots.