Which equation represents the positive solution of x squared equals 38?
Answer options with 4 options
A.
x equals 38 squared
B.
x equals StartRoot 38 EndRoot
C.
x equals 38 divided by 2
D.
x equals 38 times 2
B. x equals StartRoot 38 EndRoot
The equation that represents the positive solution of x squared equals 38 is option B:
x equals √38 (square root of 38).
To find the positive solution of the equation x squared equals 38, we need to solve for x. Here's a step-by-step explanation of how to do it:
1. Start with the equation x squared equals 38.
2. Take the square root of both sides of the equation to isolate x. Remember that when you take the square root of a number, you get both the positive and negative square roots. So, we have:
sqrt(x squared) = sqrt(38)
3. Simplify the equation:
x = +/- sqrt(38)
4. Since we're looking for the positive solution, we discard the negative root and keep the positive root:
x = sqrt(38)
Now, let's check which answer option represents the positive solution of x:
A. x equals 38 squared - This option is not correct because it represents x as 38 squared, rather than the square root of 38.
B. x equals StartRoot 38 EndRoot - This option is correct since it represents x as the square root of 38.
C. x equals 38 divided by 2 - This option is not correct because it represents x as 38 divided by 2, rather than the square root of 38.
D. x equals 38 times 2 - This option is not correct because it represents x as 38 times 2, rather than the square root of 38.
Therefore, the correct answer is option B: x equals StartRoot 38 EndRoot.