Solve x^2=36by inspection. There are two real solutions. Enter the lesser number first

1 answer

To solve the equation \( x^2 = 36 \) by inspection, we think of numbers whose square is 36.

The two real solutions are:

  • The positive solution: \( x = 6 \) (since \( 6^2 = 36 \))
  • The negative solution: \( x = -6 \) (since \( (-6)^2 = 36 \))

Thus, the solutions are \( -6 \) and \( 6 \).

Entering the lesser number first, we have:

\[ -6, 6 \]