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 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 \(x = 5\).