How do you solve the system #x^2 + y^2 = 13#, # y=x^2 - 1#?
1 Answer
Nov 18, 2015
Use the second equation to substitute for
#(+-2, 3)# and#(+-sqrt(3)i, -4)#
Explanation:
Add
#x^2 = y+1#
Substitute this expression for
#(y+1)+y^2=13#
Subtract
#y^2+y-12 = 0#
Note that
Hence:
#0 = y^2+y-12 = (y+4)(y-3)#
So
So
So
So the possible Real solutions are