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
There are no real solutions.
There are no real solutions.
{613}
left brace Start Fraction 6 over 13 End Fraction right brace
{−613}
left brace negative Start Fraction 6 over 13 End Fraction right brace
{−613,613}
You guys need to learn how to type fractions!!!
x^2 = 36/169
x = ±√(36/169) = ±6/13
so x = 6/13, -6/13
Apologies for the inconvenience. Yes, you are correct. The solution set is {6/13, -6/13}.
To solve the equation x^2 = 36169 using inspection, we need to find two numbers whose product is 36169.
Taking the square root of 36169, we get √36169 ≈ 190.05.
Since the square root of a number represents both the positive and negative solution, we have two possible solutions: x = 190.05 and x = -190.05.
However, the question asks for the solution set, so we need to round these values to the nearest whole number. Therefore, the possible solutions are x = 190 and x = -190.
From the given options, the correct solution set is {−613,613}.