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

Question

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

Answer 1

To solve the factored quadratic equation \((x - 5)(x + 3) = 0\), we can set each factor to zero:

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

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

The two solutions are \(x = 5\) and \(x = -3\).

The smaller solution is: \[ x = -3 \]

The larger solution is: \[ x = 5 \]

Thus, the final answers are:

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