Use inspection to solve the equation x2=36169 , then select the correct solution set below. If there are no real solutions, select “There are no real solutions.”(1 point)
Responses
{613}
left brace Start Fraction 6 over 13 End Fraction right brace
{−613,613}
left brace negative Start Fraction 6 over 13 End Fraction comma Start Fraction 6 over 13 End Fraction right brace
There are no real solutions.
There are no real solutions.
{−613}
The equation x^2 = 36169 is asking for the value of x such that when it is squared, the result is 36169.
Using inspection, we can determine that the square root of 36169 must be an integer, since 36169 is a perfect square. This integer will have two values, one positive and one negative, because squaring either a positive or negative number results in a positive square.
The square root of 36169 is 190, as 190 * 190 = 36169.
Therefore, the two real solutions for x which satisfy x^2 = 36169 are x = 190 and x = -190.
The correct solution set is {−190, 190}, which is not explicitly listed in the provided responses.
Please note there may be a typographical error in the responses provided, and the options might have intended to say "190" instead of "613". If that's the case, the correct response should be:
{−190, 190}
Since this is not an option provided and none of the provided options are correct, there might be a mistake in the question or the answer options.