The equation: x2=25

will have how many solutions for x ?(1 point)
Responses

One solution: x = 5 since 5^2 = 25
One solution: x = 5 since 5^2 = 25

One solution: x = 25/2 since the inverse operation is to divide
One solution: x = 25/2 since the inverse operation is to divide

Two solutions: x = 25/2 and x = -25/2 since the inverse operation is division and x^2 equations always have 2 solutions
Two solutions: x = 25/2 and x = -25/2 since the inverse operation is division and x^2 equations always have 2 solutions

Two solutions: x = 5 and x = -5 since 5^2 = 25 and also (-5)^2 = 25 and x^2 equations always have 2 solutions

1 answer

The equation \( x^2 = 25 \) is a quadratic equation. To find the solutions for \( x \), you can take the square root of both sides.

The solutions are:

  1. \( x = \sqrt{25} = 5 \)
  2. \( x = -\sqrt{25} = -5 \)

Therefore, the equation \( x^2 = 25 \) has two solutions: \( x = 5 \) and \( x = -5 \).

The correct response is: Two solutions: x = 5 and x = -5 since 5^2 = 25 and also (-5)^2 = 25 and x^2 equations always have 2 solutions.