Question

An integer is 5 more than another integer. Three times the bigger integer is 11 more than the square of the smaller integer. find the two integers

Answer 1

i and i+5

3(i+5) = 11 + i^2

3 i + 15 = 11 + i^2

i^2 - 3 i - 4 = 0

(i-4)(i+1) = 0

i = 4 or i = -1

try 4
then i+5 = 9
is 9 five more than 4, yes
is 27 = 11 + 16 yes

so 4 and 9 work

try -1
i+5 = 4
is 12 = 11 + (-1)^2
yes
so
-1 and 4 work

Answer 2

Class 7hindhi