Solve the factored quadratic equation (x−5)(x+3)=0.(1 point)

The smaller solution is x=
, and the larger solution is x=

1 answer

To solve the factored quadratic equation \((x - 5)(x + 3) = 0\), we set each factor equal to zero:

  1. \(x - 5 = 0\)

    • Solving this gives: \(x = 5\)
  2. \(x + 3 = 0\)

    • Solving this gives: \(x = -3\)

Thus, the smaller solution is \(x = -3\) and the larger solution is \(x = 5\).

Final answers:

  • The smaller solution is \(x = -3\).
  • The larger solution is \(x = 5\).