Question

Solve x 2 - 8x + 3 = 0 by completing the square. Which equation is used in the process? A. ( x - 4) 2 = 0 B. ( x - 4) 2 = 11 C. ( x - 4) 2 = 13 D. ( x - 4) 2 = 19

Answer 1

gruop x terms
(x²-8x)+3=0
take 1/2 of linear coefient and square it
-8/2=-4, (-4)^2=16
add negative and positive inside
(x²-8x+16-16)+3=0
factor perfect square
((x-4)²-16)+3=0
expand
(x-4)²-16+3=0
(x-4)²-13=0
add 13 both sides
(x-4)²=13

answer is C