6 7 8 9 10 TIME REMAINING 59:50 Two positive integers are 3 units apart on a number line. Their product is 108. Which equation c

Question

3 years ago

12

6 7 8 9 10 TIME REMAINING 59:50 Two positive integers are 3 units apart on a number line. Their product is 108. Which equation c

an be used to solve for m, the greater integer? m(m – 3) = 108 m(m + 3) = 108 (m + 3)(m – 3) = 108 (m – 12)(m – 9) = 108

Mathematics

2 answers:

Slav-nsk [51] · Answer 1 · 2022-05-12T04:48:54+03:00

Slav-nsk [51]3 years ago

8 0

M(m+3)=108

m^2+3m-108=0
(m-9)(m+12)=0
m=9 m=-12
m=9 is the only one positive

OLEGan [10] · Answer 2 · 2022-05-12T03:06:06+03:00

OLEGan [10]3 years ago

5 0

N and m are numbers 3 units apart

n + 3 = m
n = m - 3

Product:

m(m-3) = 108 (ANSWER)
m^2 - 3m - 108 = 0
(m-12)(m+9)=0

m = 12(greates) and -9(void)

n = m - 3
n = 12 - 3
n = 9

therefore the two numbers are 9 and 12