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?
Explanation:
The question
can be directly converted to an equation as follows.
Let ānā be
the number.
(4 + 6n)2
= 4(n + 2n)2
22(2
+ 3n)2 = 4(3n)2
4 + 12n + 9n2
= 9n2
n =