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

Question

.(1 point)
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. \(x - 5 = 0\): \[ x = 5 \]

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

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

So,

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