Answer:
x = - 1 ± 2i
Step-by-step explanation:
we can use the discriminant b² - 4ac to determine the nature of the roots
• If b² - 4ac > , roots are real and distinct
• If b² - 4ac = 0, roots are real and equal
• If b² - ac < 0, roots are not real
for x² + 2x + 5 = 0
with a = 1, b = 2 and c = 5, then
b² - 4ac = 2² - (4 × 1 × 5 ) = 4 - 20 = - 16
since b² - 4ac < 0 there are 2 complex roots
using the quadratic formula to calculate the roots
x = ( - 2 ± ) / 2
= (- 2 ± 4i ) / 2 = - 1 ± 2i
Answer:
Options (A) and (D).
Step-by-step explanation:
Given expression is,
4x³ - 7x² - + 15
Characteristics of the give expression ,
Option (A).
Third term of the expression is in the form a ratio.
True.
Option (B).
Entire expression is a difference.
False.
Option (C).
There are three terms.
False.
Option (D).
There are four terms in the given expression.
True.
Therefore, Options (A) and (D) will be the correct options.
Answer:
Step-by-step explanation:
Given:
Required
Determine the domain
A relation is represented as:
Where:
are the domain of the relation
So, by comparison:
or
represents the domain
Answer:
see below
Step-by-step explanation:
y = -2x-5
Let x = -6
y = -2*-6 -5 = 12 -5 = 7
Plot the point ( -6,7)
Let x = -5
y = -2*-5 -5 = 10 -5 = 5
Plot the point ( -5,5)
Let x = -2
y = -2*-2 -5 = 4 -5 = -1
Plot the point ( -2,-1)
Let x = -0
y = -2*0 -5 = 0 -5 = -5
Plot the point ( 0,-5)
Let x = 1
y = -2*1 -5 = -2 -5 = -7
Plot the point ( 1,-7)
