To solve the equation for x by completing the square what equation is equivalent to x^2-x-2=0

here are options for both blanks (The equivalent equation (x-Blank) ^2=Blank

-1/4

1/4

-1/2

1/2

-9/4

9/4

-3/2

3/2

So to complete the square in

ax^2+bx+c=d form

make sure a=1

subtract c from both sides

take 1/2 of b and square it

add that to both sides

factor perfect square

1x^2-1x-2=0

a=1

move c to other side

add 2 to oth sides

x^2-1x=2

take 1/2 of b and square it

1/2 of - 1=-1/2

squaer it

1/4

add that to both sides

x^2-1x+1/4=2+1/4

factor left side

(x-1/2) = 2+1/4

first blank is 1/2

2+1/4=8/4+1/4=9/4

blanks are

1/2 and 9/4