Posted by jack on .
Find two consecutive positive integers such that the square of the smaller increased by 4 times the larger is 64.

Math 
Reiny,
let the two numbers be x and x+1
x^2 + 4(x+1) = 64
x^2 + 4x + 4  64=0
x^2 + 4x  60 = 0
(x+10)(x6) = 0
x = 10 or x = 6
but you wanted only positive integers, so x = 6
the two numbers are 6 and 7
check:
What is 6^2 + 4(7) ??