liv467
07.12.2019 •
Mathematics
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
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Ответ:
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
Ответ: