Sarah was asked to solve this word problem the product of two consecutive integers is 156 what are the integers? What type of equation should she create a soda

The numbers are 12 and 13 and -13 and -12. It's a quadratic equation.

Step-by-step explanation:

Integers are "whole" numbers, they don't have decimals, so if two integers are consecutive they can be related by a sum of 1, if one integer can be called "x" and the next one can be called "y" then y = x + 1. In this case the product of the two must be 156 so we have:

x * y = 156

We can apply the equation that relates the two integers in order to obtain only one variable, such as:

x *( x + 1) = 156

x^2 + x = 156

x^2 + x - 156 = 0

We have two possible values for x:

x1 = (-1 + sqrt(1^2 - 4*1*(-156)))/(2*1)

x1 = (-1 + sqrt(1 + 624))/2 = (-1 + sqrt(625))/2

x1 = (-1 + 25)/2 = 24/2 = 12

x2 = (-1 - 25)/2 = -26/2 = -13

For x1 we have:

y = x + 1 = 12 + 1 = 13

And for x2 we have:

y = -13 + 1 = -12

The numbers are 12 and 13 and -13 and -12.

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2.   incorrect.