Answer:
The simplified expression is
Step-by-step explanation:
The given expression is
We change the middle bar to a normal division sign to obtain,
We multiply by the reciprocal of the second fraction to obtain,
We cancel out common factors to get,
This simplifies to,
With that table of values, you can come up with a slope intersect form of a line
7 = -8m + b
1 = -5m + b
-5 = -2m + b
7-1 = -3m
6 = -3m
m = -2
1 = -5 * -2 + b
b = 1 - 10
b = -9
so it is y = -2x - 9
Now we can find where those intersect
-2x - 9 =2 (x+4)^2 - 5
-2x - 9 = 2(x^2 + 8x + 16) - 5
-2x - 9 = 2x^2 +16x + 32 -5
2x^2 + 18x +36 = 0
x^2 + 9x + 18 = 0
D = 81 - 72 = 9 = 3^2
x1 = (-9 - 3) / 2 = -6; y1 = 3
x2 = (-9 + 3) / 2 = -3; y2 = -3
so the solutions are (-6; 3) and (-3; -3)
If you are solving for a value, you can divide by -1
For example:
-x=5 (divide by -1)
x=-5
If you have an equation, you can negate every part
For example:
-x^2-2x+7=0 (negate)
x^2+2x-7=0