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

A2,2

B8,1

C4,5

D9,6

Answer:

A. 2,2

Read Explanation:

Given:

a b= b = a^2 - b<br></p><pdatapxy="true"style="color:rgb(0,0,0);margintop:2px;marginbottom:2px;">and</p><pdatapxy="true"style="color:rgb(0,0,0);margintop:2px;marginbottom:2px;"><br>a<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

So we need:

a2b=2a^2 - b = 2

Check the options:

  1. (2, 2): (2^2 - 2 = 4 - 2 = 2)

  2. (8, 1): (8^2 - 1 = 64 - 1 = 63)

  3. (4, 5): (4^2 - 5 = 16 - 5 = 11)

  4. (9, 6): (9^2 - 6 = 81 - 6 = 75)

Correct answer: (2, 2).


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