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

Question

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

Answer 1

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 \(x = 5\).