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. \(x - 5 = 0\)
2. \(x + 3 = 0\)

Now, we solve for \(x\) in each case:

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

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

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

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