Solve the quadratic equation below using square roots. (x−4)2=25 (1 point) Responses {−3, 7} {−3, 7} {−1, 9} {−1, 9} {−2, 6} {−2, 6} {−29−−√, 29−−√}

Answer 1

To solve the quadratic equation \((x - 4)^2 = 25\) using square roots, proceed as follows:

1. Take the square root of both sides: \[ x - 4 = \pm 5 \]

2. This gives us two equations to solve:

   • \(x - 4 = 5\)
   • \(x - 4 = -5\)

3. Solve each equation:

   • For \(x - 4 = 5\): \[ x = 5 + 4 = 9 \]

   • For \(x - 4 = -5\): \[ x = -5 + 4 = -1 \]

Therefore, the solutions to the equation are \(x = 9\) and \(x = -1\).

The correct response is: \[ {-1, 9} \]