Answer:
x ≈ - 5.83 , x ≈ - 0.17
Step-by-step explanation:
x² + 6x + 1 = 0 ( subtract 1 from both sides )
x² + 6x = - 1
Using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(3)x + 9 = - 1 + 9
(x + 3)² = 8 ( take square root of both sides )
x + 3 = ± ( subtract 3 from both sides )
x = - 3 ±
Then
x = - 3 - ≈ - 5.83 ( to 2 dec. places )
x = - 3 + ≈ - 0.17 ( to 2 dec. places )
Answer:
The values of a and b are:
Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = ax+b
where
From the diagram of the line graph, we can fetch the two points
Determining the slope between (0, 2) and (-1, 0)
Thus, the value of a = 2
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept b = 2
now substituting a = 2 and b = 2 in the slope-intercept form of the line equation
y = ax+b
y = 2x + 2 ∵ a = 2 , b = 2
Thus, the line of equation is:
y = 2x+2
now comparing with y = ax+b
Here:
a = 2
b = 2
Therefore, the values of a and b are: