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 for \(x\) gives: \[ x = 5 \]

2. \(x + 3 = 0\)
   Solving for \(x\) gives: \[ x = -3 \]

Thus, the solutions are \(x = -3\) and \(x = 5\).

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