PLEASE HELP ASAP ( Will give brainlist)


Number in perenthesis is: to the power


A new operation is defined by a△ b = a(2) - b / b- a(2) . Find the following

values.


2 △ 1/2


5 △ (−3)

Respuesta :

Answer:

  • -1
  • -1

Step-by-step explanation:

The expression simplifies as follows:

  aΔb = (a² -b)/(b -a²) = -(b -a²)/(b -a²) = -1 . . . . . for b≠a²

That is, for any values of 'a' and 'b', the expression evaluates to -1.

  2 Δ 1/2 = -1

  5 Δ -3 = -1

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Additional comment

The purpose of simplifying the expression is to avoid having to do unnecessary arithmetic. If you actually want to see the arithmetic, it looks like this:

  2 Δ 1/2 = (2² -(1/2))/(1/2 -2²) = (7/2)/(-7/2) = -1

  5 Δ -3 = (5² -(-3))/(-3 -5²) = 28/-28 = -1

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