Product is -42 and sum is 1
what are the two numbers

The numbers are 7, (-6)

Step-by-step explanation:

Let one number be x

So, other number = 1 - x  

x*(1 -x) = -42

x - x²   = -42

0 = -42 -x +x²

x² - x - 42 = 0

x² + 6x - 7x - 7*6 = 0

x(x + 6) -7 (x + 6) = 0

(x + 6)(x - 7) = 0

x + 6 = 0    ; x - 7 =0

x = -6         ; x = 7

The numbers are 7, (-6)

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)