Answer:
The two factors of the first number are -4 and 9.
Step-by-step explanation:
We're given:
- Two numbers have a product of -36
- The same two numbers have a sum of 5
Let the two numbers be <em>a</em> and <em>b</em>:
<h3>Solving for <em>b</em></h3>
Isolate <em>a</em> in the second equation and solve for <em>b</em>:
Arrange in format:
Divide both sides by -1:
Factor:
Solve for <em>b</em> using the zero product property:
<h3>Solve for <em>a</em></h3>
Substitute <em>b</em> back into the second equation to solve for <em>a</em>:
First, let <em>b</em> = -4:
Let <em>b</em> = 9: