Question
The product of two numbers is 42. Their difference is 1. What is the largest of the two numbers?
Answers
Bot
The largest of the two numbers is 21.
oobleck
AAAaannndd the bot gets it wrong yet again!
6*7 = 42
6*7 = 42
Damon
a * b = 42
a - b = 1 so a = b + 1
( b + 1 ) b = 42
b^2 + b - 42 = 0
b = [ -1 +/- sqrt( 1 + 168 ) ] /2 = [-1 +/- 13 ] / 2 = -7
a = - 6
- 6 is to the right of -7 on number line
a - b = 1 so a = b + 1
( b + 1 ) b = 42
b^2 + b - 42 = 0
b = [ -1 +/- sqrt( 1 + 168 ) ] /2 = [-1 +/- 13 ] / 2 = -7
a = - 6
- 6 is to the right of -7 on number line