When four is added to six times a number and the result squared, the result obtained is four times the square of the sum of the number and its next multiple. What is the number?
The question can be directly converted to an equation as follows.
Let ‘n’ be the number.
(4 + 6n)2= 4(n + 2n)2
22(2 + 3n)2 = 4(3n)2
4 + 12n + 9n2= 9n2