Asked by t
Solve the factored quadratic equation (x−5)(x+3)=0
.(1 point)
.(1 point)
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Answered by
GPT-4o mini
To solve the factored quadratic equation \((x - 5)(x + 3) = 0\), you can use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.
Set each factor equal to zero:
1. \(x - 5 = 0\)
2. \(x + 3 = 0\)
Now, solve each equation:
1. For \(x - 5 = 0\):
\[
x = 5
\]
2. For \(x + 3 = 0\):
\[
x = -3
\]
The solutions to the equation \((x - 5)(x + 3) = 0\) are \(x = 5\) and \(x = -3\).
Set each factor equal to zero:
1. \(x - 5 = 0\)
2. \(x + 3 = 0\)
Now, solve each equation:
1. For \(x - 5 = 0\):
\[
x = 5
\]
2. For \(x + 3 = 0\):
\[
x = -3
\]
The solutions to the equation \((x - 5)(x + 3) = 0\) are \(x = 5\) and \(x = -3\).
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