URGENT!!!PLEASE HELP 30PTS Complete the square to transform the quadratic equation into the form (x – p)2 = q. x2 - 8x - 10 = 18 A) (x - 8)2 = 14 B) (x - 4)2 = 44 C) (x - 8)2 = -14 D) (x - 4)2 = -44
Accepted Solution
A:
Answer:B: (x - 4)² = 44Step-by-step explanation:Start with x^2 - 8x - 10 = 18.Simplify the constants by adding 10 to both sides: x^2 - 8x - 10 + 10 = 18 + 10.Then x^2 - 8x = 28.Now identify the coefficient of x. It is -8. Take half of this, obtaining -4.Square this result, obtaining 16.Add 16, and then subtract 16, to x^2 - 8x:x^2 - 8x + 16 - 16 = 28.Add 16 to both sides:x^2 - 8x + 16 = 28 + 16 = 44Rewrite x^2 - 8x + 16 as (x - 4)², so that we have:(x - 4)² = 44. This is in the form (x - p)² = 44, and matches Answer B.Note: Please use " ^ " to indicate exponentiation: (x - 4)^2 = 44