What is the solution set for this linear-quadratic system of equations?
y = x2 − x − 12
y − x − 3 = 0
A:{(-3, 0), (0, 3)}
B:{(-3, 0), (4, 0)}
C:{(-3, 0), (5, 8)}
D:{(4, 0), (0, 3)}

Question

What is the solution set for this linear-quadratic system of equations?
y = x2 − x − 12
y − x − 3 = 0
A:{(-3, 0), (0, 3)}
B:{(-3, 0), (4, 0)}
C:{(-3, 0), (5, 8)}
D:{(4, 0), (0, 3)}

sshayer · Answer

y=x+3
$$y=x^2-x-12$$
$$x^2-x-12=x+3,x^2-2x-15=0$$
solve this quadratic ,then find x
then corresponding y

triciaal · Answer

one approach factor the first equation to get when y = 0
for the second equation use expression for y = 0 
compare and note that x value

triciaal · Answer

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