The product of two consecutive room numbers is 380. Find the room numbers

Answer 1

x represents the first room number, x+1 represents the next consecutive room number. product means to multiply

x * (x+1) = 380

x² + x = 380

x² + x - 380 = 0

FACTOR

(x + 20)(x - 19)=0

x = -20, 19

Because the x is squared, the -20 can be +20. The answer is 19 and 20. Verify: 19 x 20 = 380.