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. {−613,613} left brace negative Start Fraction 6 over 13 End Fraction comma Start Fraction 6 over 13 End Fraction right brace {−613} left brace negative Start Fraction 6 over 13 End Fraction right brace {613}
To solve the equation x^2 = 36169, we can use inspection or a calculator.
By inspection, we can see that the square root of 36169 is 190. Therefore, the solution set is {190, -190} since the equation is asking for both positive and negative values of x.
So, the correct solution set is {190, -190}.
To solve the equation x^2 = 36169 using inspection:
1. Notice that 36169 is a perfect square. Taking the square root of it will yield a whole number.
2. Use the square root to find the solutions. Taking the square root of 36169, we get ± 190.4.
3. Since we are looking for real solutions, we discard the negative value.
4. Therefore, the only real solution to the equation x^2 = 36169 is x = 190.
So, the correct solution set is {190}.
The square root of 36169 is approximately 190. So, the equation x^2 = 36169 has two real solutions: x = -190 and x = 190.
Therefore, the correct solution set is {−190, 190}.