224k views
3 votes
10 POINTS!! This is Adele’s solution for the equation.

x² - 8x – 48 = 0
Step 1: x² - 8x = 48
Step 2: x² - 8x + 16 = 48 + 16
Step 3: (x – 4)² = 64
Step 4: x – 4 = 64 OR x – 4 = - 64
Step 5: x = 68 OR x = - 60

Where did Adele make her mistake? What are the solutions to this equation? Show all of your work. This problem is solved using completing the square, Lesson 3.03.

Answer:
The mistake was in step _____________. Here is how to correctly solve the equation:
x² - 8x – 48 = 0

User Whiskeyfur
by
7.7k points

1 Answer

4 votes
i suck at math but i tried doing this

i think she messed up in step 4 she wrote x - 4 = 64 or x - 4 = -64 instead of x - 4 = 8 or x - 4 = -8

1. x² - 8x = 48
2. x² - 8x + 16 = 48 + 16
3. simplify x - 4)² = 64
4.
5.
6. i can’t type all the numbers

ANSWER: x = 12 or x = -4
that’s what i got but i might be wrong
User Minjung
by
7.8k points