Solutions of the equation: z2 - 12z + 36 = 0?
1 answer:
36 becomes a negative
First -36 + -1 -37
Next: -18 + -2 = -20
Next: -12 + -3 = -15
Next: -9 + -4 which equals -13
Finally we get to the last part: -6 + -6 = -12
We change z2 to
- 6(z) = 36
z(z) - 6
Because, we add up for the first two terms
Switch up, up the problem 6(z) - 6
Now, let's add the number 4 on the terms
z - 6 (z - 6)
Then, let's multiply z - 6 from z - 6
From this problem we have to add 6 from the sides that we are working with
Therefore, your answer for z is 6
First -36 + -1 -37
Next: -18 + -2 = -20
Next: -12 + -3 = -15
Next: -9 + -4 which equals -13
Finally we get to the last part: -6 + -6 = -12
We change z2 to
z(z) - 6
Because, we add up for the first two terms
Switch up, up the problem 6(z) - 6
Now, let's add the number 4 on the terms
z - 6 (z - 6)
Then, let's multiply z - 6 from z - 6
From this problem we have to add 6 from the sides that we are working with
Therefore, your answer for z is 6
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The intercepts and the graph on your worksheet are not correct. Please see below for details:
has solutions at x=-1 and x=3 (use the quadratic formula to solve). That means these are the x-intercepts, namely points:
(-1,0) and (3,0).
The y-intercept comes from setting x=0 and calculating the y value:
so the y-intercept is (0,-3).
Now to the graph: Based on the form of the function we can see this is a quadratic function and its graph will be a parabola. You can reformat the expression in the following form
and that will indicate that the apex of the parabola (open up) will be at the point (1,-4).
Knowing the apex, the x intercepts, and the y intercept, we can graph it now.
Graph is in the image attached.
Actually Welcome to the Concept of the Inequalities.
so we get as,
(w+6)/2 < 5
so we get as,
w+6 < 10
=> w < 10-6
=> w < 4
so the answer is,
w < 4