Given:
The given equation is

To find:
All the real solutions.
Solution:
We have,

It can be written as


Using zero product property, we get
and 
and 
and 
We know that
is an imaginary number because there is a negative sign under the square root.
Therefore,
is the only real solution of the given equation.
Answer:
Option C. The robin flies fastest because its rate is 15 m/s
Step-by-step explanation:
Let
x -----> the time in seconds
y ----> the distance in meters
The speed is equal to divide the distance by the time
In this problem, the slope or unit rate of the linear equation is the same that the speed
<em>Robin's Flight</em>
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
take two points from the table
(2,30) and (3,45)
substitute in the formula

<em>Cardinal's Flight</em>


<em>Blue Jay's Flight</em>
take two points from the graph
(0,0) and (2,20)
substitute in the formula

Compare
The robin flies fastest because its rate is 15 m/s
The coordinates of the point intersection of lines (-1, -1)
If you want solve:
y = -2x - 3, y = 3x + 2
-2x - 3 = 3x + 2 |+3
-2x = 3x + 5 |-3x
-5x = 5 |:(-5)
x = -1
Put the value of x to the first equation:
y = (-2)(-1) - 3 = 2 - 3 = -1
x = -1, y = -1