Which of the following solves the equation using square roots. x^2+ 5 = 41.

Question

_+36
No real number solutions
6
_+6

Answer 1

To solve the equation x^2 + 5 = 41 using square roots, we can isolate the variable by subtracting 5 from both sides of the equation:

x^2 + 5 - 5 = 41 - 5

x^2 = 36

Now, since we want to solve for x, we need to take the square root of both sides of the equation. However, instead of just taking the positive square root, we need to consider both positive and negative square roots:

√(x^2) = ±√36

x = ±6

Therefore, the solutions to the equation are x = 6 and x = -6.