Question

|f a $ b = 2, where a $ b = a² - b, what is the value of a and b?

• A. 2,2
• B. 8,1
• C. 4,5
• D. 9,6

Answer 1

Answer:

A. 2,2

Given:

a $b =$a^2 - b$<br></p><p data-pxy="true" style="color: rgb(0,0,0); margin-top: 2px; margin-bottom: 2px;">and</p><p data-pxy="true" style="color: rgb(0,0,0); margin-top: 2px; margin-bottom: 2px;"><br>a$ b = 2

Substituting the definition:

$a^2 - b = 2$

So,

$b = a^2 - 2$

This equation alone does not uniquely determine (a) and (b). There are infinitely many pairs satisfying it.

Examples:

• (a = 2,; b = 2)

Therefore, (a) and (b) cannot be uniquely found unless an additional condition is given. The relation between them is:

$\boxed{b = a^2 - 2}$