Answer: x = {+-sqrt(3), +-2*sqrt(3)}.
Step-by-step explanation:
(x^2 - 8)^2 + (x^2 - 8) = 20
▪︎ Let (x^2 - 8) be y.
Then,
y^2 + y = 20
y^2 + y - 20 = 0
D = b^2 - 4ac = 1 + 20*4 = 81 = 9^2
y1 = (-b - sqrt(D))/(2a) = (-1 - 9)/2 = -10/2 = -5
y2 = (-b + sqrt(D))/(2a) = (-1 + 9)/2 = 8/2 = 4
1) x^2 - 8 = -5
x^2 = 8 - 5
x^2 = 3
x = +-sqrt(3)
2) x^2 - 8 = 4
x^2 = 8 + 4
x^2 = 12
x = +-sqrt(12)
x = +-2*sqrt(3)
Answer:
The slope of the line is 3/4
Step-by-step explanation:
There is a difference of 3 in the y coordinate and 4 for the x coordinate from each exact point.
Answer:
(x, y) → (x + 6, y + 13)
Step-by-step explanation:
<u>Let's use one of the points to determine the transition:</u>
- Coordinates of D = (-5, -7)
- Coordinates of D' = (1, 6)
<u>Transition:</u>
- x' - x = 1 - (-5) = 6
- y' - y = 6 - (-7) = 13
<u>So the rule is:</u>
G -1/6= 1/6
Move -1/6 to the other side
sign changes from -1/6 to 1/6
G-1/6+1/6=1/6+1/6
G = 2/6
Reducing: divide by 2 for 2/6
2/2= 1
2/6= 3
Answer : G= 2/6= 1/3
The first one is all of them except D. The second one is C.
