Solve the following system by the method of your choice x3y0
Solve the following system by the method of your choice.
x^3+y=0
3x^2-y=0
(Type an ordered pair. Use a comma to separate answers as needed. Type exact answers, using radicals as needed. Simplify your answer.)
Solution
x^3+y=0 ----(1)
3x^2-y=0 ----(2)
from equa : y = 3x^2
So, x^3 +3x^2 =0
x^2(x+3) =0
x=0 ; x=-3
substitute value of x to get value of y:
y = 3x^2 = 0
y = 3(-3)^2 = 27
Ordered pair (0,0) and (-3, 27)
