Solve the factored quadratic equation (x−5)(x+3)=0 .(1 point) The smaller solution is x=blank, and the larger solution is x=blank.

Answer 1

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

1. Setting the first factor to zero: \[ x - 5 = 0 \implies x = 5 \]

2. Setting the second factor to zero: \[ x + 3 = 0 \implies x = -3 \]

Thus, we have two solutions: \(x = 5\) and \(x = -3\).

The smaller solution is: \[ \text{Smaller solution: } x = -3 \]

The larger solution is: \[ \text{Larger solution: } x = 5 \]

So, the answers are:

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