Use inspection to solve the equation x2=81 , then select the complete solution set below. If there are no real solutions, select “There are no real solutions.”(1 point)%0D%0AResponses%0D%0A%0D%0A{−9,9}%0D%0Aleft brace negative 9 comma 9 right brace%0D%0A%0D%0A{9}%0D%0Aleft brace 9 right brace%0D%0A%0D%0AThere are no real solutions.%0D%0AThere are no real solutions.%0D%0A%0D%0A{−9}

1 answer

To solve the equation \( x^2 = 81 \) by inspection, we can think about what number squared gives us 81.

The two numbers that satisfy this equation are:

  • \( 9 \) because \( 9^2 = 81 \)
  • \( -9 \) because \( (-9)^2 = 81 \)

Thus, the complete solution set is:

\({ -9, 9 }\)

So the correct response is:

\({-9, 9}\)

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