If x and y are nonzero real numbers such that | x | + y = 3 | x | y + X3 = 0, then x + y equals () A. 3B. 13C. 1−132D. 4−13

If x and y are nonzero real numbers such that | x | + y = 3 | x | y + X3 = 0, then x + y equals () A. 3B. 13C. 1−132D. 4−13

Substituting y = 3 - | x | into | x | y + X3 = 0, we get x3-x2 + 3 | x | = 0. (1) when x ＞ 0, x3-x2 + 3x = 0, the equation x2-x + 3 = 0 has no real root; (2) when x ＜ 0, x3-x2-3x = 0, the equation x2-x-3 = 0, the solution is x = 1 ± 132, the positive root is rounded off, so x = 1 − 132. So y = 3 − x | x | 3 + 1 − 132 = 7 − 132. So x + y = 4 − 13

If x and y are non-zero integers such that │ x │ + y = 3 and │ x │ y + x ^ 3 = 0, then x + y is equal to

│ x │ + y = 3 and │ x │ y + x ^ 3 = 0
x>0
x+y=3
xy+x^3=0
X ^ 2-x + 3 = 0, no real solution
x

If a is a nonzero real number, then the line y = ax-a must ()
A. The first and second quadrants B. the second and third quadrants C. The third and fourth quadrants D. the first and fourth quadrants

① If a is positive, then - A is negative, and the function passes through one, three, and four quadrants. ② if a is negative, then - A is positive, and the function passes through one, two, and four quadrants