Answer:
(-1-√33)/2, (-1+√33)/2
Step-by-step explanation:
If one of them is x, then it satisfies ...
x + -8/x = -1
x^2 -8 = -x . . . . . multiply by x
x^2 +x = 8 . . . . . add x+8
x^2 +x + 1/4 = 8+1/4 . . . . complete the square
(x +1/2)^2 = 33/4
x + 1/2 = ±(1/2)√33 . . . . . . take the square root
x = (-1/2)(1 ± √33) . . . . . . . subtract 1/2
The numbers are approximately ...
-3.37228, 2.37228
It works well to put both equations in the same form. Here, we use "general form". Any common factors are removed from the numbers. The leading coefficient is positive.
The equations are inconsistent if the x and y coefficients have the same ratio but the constants are different. They are consistent otherwise.
1. 8x +y +4 = 0
.. 8x +y +4 = 0
"consistent" . . . . . and also "dependent"
2. 7x +2y +6 = 0
.. 7x +2y +1 = 0
"inconsistent"
3. x +y +3 = 0
.. x +y +3 = 0
"consistent" . . . . . and also "dependent"
4. x -2y -7 = 0
.. x +3y -7 = 0
"consistent" . . . . . (x, y) = (7, 0)
5. 2x -y +5 = 0
.. 2x -y -2 = 0
"inconsistent"
Answer:
Step-by-step explanation:
Answer:
Number of times an event occurs total number an experiment is performed
Step-by-step explanation:
