Question

What is the intermediate step in the form (x + a)2 = b as a result of completing the square for the following equation? —2x^2 + 160 = 40x​

Answer 1

• See below for the steps

Explanation:

Since no options are given, I'll add all the steps.

• - 2x² + 160 = 40x
• - x² + 80 = 20x
• - x² - 20x + 80 = 0
• x² + 20x - 80 = 0
• x² + 2*x*10 + 10² - 10² - 80 = 0
• (x + 10)² - 100 - 80 = 0
• (x + 10)² - 180 = 0
• (x + 10)² = 180