How do you solve using the completing the square method x^2-2x-13 = 0?

1 Answer
Jan 9, 2018

x=1+-sqrt14

Explanation:

• " the coefficient of the "x^2" term must be 1 which it is"

• " add "(1/2"coefficient of x-term")^2" to both sides"

x^2-2x-13=0

rArrx^2-2x=13

rArrx^2+2(-1)xcolor(red)(+1)=13color(red)(+1)

rArr(x-1)^2=14

color(blue)"take the square root of both sides"

x-1=+-sqrt14larrcolor(blue)"note plus or minus"

rArrx=1+-sqrt14