Answer:
![-420](https://img.qammunity.org/2019/formulas/social-studies/middle-school/ohs40sh8o3vg1nhguojnur5qr9ub1ukhr1.png)
Step-by-step explanation:
if we call the fist of the numbers
, then the following number is
.
the product of this two numbers according to the problem is:
![(x)(x+1)=420](https://img.qammunity.org/2019/formulas/social-studies/middle-school/rg8r9jj0s44dezhy1b49249vcoy7gxq1iw.png)
which results in:
![x^2+x=420](https://img.qammunity.org/2019/formulas/social-studies/middle-school/6255pgr8exnv04l0m7hjgql9o5ub1jebnk.png)
The standar form of a quadratic equation is
![Ax^2+Bx+C=0](https://img.qammunity.org/2019/formulas/social-studies/middle-school/gf2re0efvhwt6vam2a1o4umexpvgvyjxa9.png)
so we must make the equation equal to zero:
![x^2+x-420=0](https://img.qammunity.org/2019/formulas/social-studies/middle-school/yffqn76fughz23v6aej935thh8kwa7gu04.png)
and this way we can see that the constant
in the quadratic expression is
.
if you want the values of the consecutive numbers, they are 20 and 21.