Answer:
x ≈ - 5.32, x ≈ 1.32
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± ( subtract 2 from both sides )
x = - 2 ±
Thus
x = - 2 - ≈ - 5.32 ( to 2 dec. places )
x = - 2 + ≈ 1.32 ( to 2 dec. places )
Answer:
see the explanation
The graph in the attached figure
Step-by-step explanation:
we have
This is a linear equation (the graph is a line)
The y-intercept is the point (0,4) ---> value of y when the value of x is equal to zero)
The x-intercept is the point (-4/3,0) ---> value of x when the value of y is equal to zero)
The slope is m=3
If the slope is changed to m=1/3
we have
This is a linear equation too (the graph is a line)
The y-intercept is the point (0,4) ---> is the same
The x-intercept is the point (-12,0) ---> the x-intercept is different
The slope is m=1/3
The second line becomes a lot less steep
Remember that the slope is the ratio between the rise and the run
In the first line the ratio rise/run is 4/1
In the second line the ratio rise/run is 1/3
see the attached figure to better understand the problem
