Mathematics: 19) n? – 8n – 27 = 6 solve each equation by completing the square

19) n? – 8n – 27 = 6 solve each equation by completing

alleshia2007

11.01.2022

n=11 or n=-3

Step-by-step explanation:

Consider the quadratic equation n^2-8n-27=6.

First, remind the formula

(a-b)^2=a^2-2ab+b^2

To complete the square, note that

$8n=2\cdot n\cdot 4$

Hence, we need +4^2

Add 16 to both sides of equation:

$n^2-8n+16-27=6+16\\ \\(n-4)^2-27=22\\ \\(n-4)^2=49\\ \\n-4=7\text{ or }n-4=-7\\ \\n=11\text{ or }n=-3$

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Nannie60

25.11.2020

Yes!

Step-by-step explanation:

This is a function because there are no repetitive x values, also if you do the vertical line test each line goes threw each point one time

High Hopes^^

Barry-

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