The sum of 2 numbers is 5 and their product is -84. Find these two numbers

Question

This is a fucntion question

Answer 1

x+y=5

xy=-84

y=5-x

x(5-x)=-84

5x-x^2=-84

x^2-5x-84=0
84=2*2*3*7=(2*2*3)*(7)=12*7 and 12-7=5

factor

(x-12)(x+7)=0

x-12=0

x=12

x+7=0

x=-7

12 and -7 are the numbers