MATH SOLVE

5 months ago

Q:
# What equation results from completing the square and then factoring? X^2+22x=31 A) (x+11)^2 = 152B) (x+22)^2 = 152C) (x+11)^2 = 53D) (x+22)^2 = 53

Accepted Solution

A:

Answer:Step-by-step explanation:Rewrite X^2+22x=31, leaving space after the "22x:"X^2+22x = 31The coefficient of x is 22. Take half of that, obtaining 11. Square this result: 11^2 = 121.Write in "+121 -121" after the x term:X^2+22x + 121 - 121 = 31Rewrite X^2+22x + 121 as (x + 11)^2 -121 = 31Add 121 to both sides: (x + 11)^2 = 152Take the square root of both sides: x + 11 = ±√152 = ±2√38Finally, x = -11 ±2√38.This is "solution by completing the square"