Two numbers have a sum of - 6 and a product of 9. Use the quadratic equation n^2 - 6n + 9 = 0 to determine the two numbers. n2 - 6n + 9 = 0

asked Oct 3, 2022 113k views

2 votes

Two numbers have a sum of - 6 and a product of 9.

Use the quadratic equation n^2 - 6n + 9 = 0 to determine the two numbers.
n2 - 6n + 9 = 0

by Jros

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5 votes

Answer:

3, 3

Explanation:

$n^2 - 6n + 9 = 0 \\ n^2 - 3n - 3n+ 9 = 0 \\ n(n - 3) - 3(n - 3) = 0 \\ (n - 3)(n - 3) = 0 \\ n - 3 = 0, \: \: n - 3 = 0 \\ n = 3, \: \: n = 3$

Thus, the two numbers are 3, 3

PVermeer answered Oct 10, 2022

4.9k points

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