# The square of 9 less than a number is 3 less than the number. what is the number?

An equation is a mathematical representation which shows the equality between two expressions

## Answer: The number whose square of 9 less than a number is 3 less than the number is 12 or 7

Let's form the mathemtical equation according to the given question

**Explanation:**

Let the number be x

(x - 9)^{2} = x - 3

=> x^{2} - 18x + 81 = x - 3 (using the identity (a + b)^{2} = a^{2} + b^{2 }+ 2ab on LHS)

=> x^{2} - 19x + 84 = 0

By splitting the middle term,

=> (x - 12)(x - 7) = 0

x = 12 or 7