Answer:
x=0
x=−0.166667
Step-by-step explanation:
Solution by completing the square for:
36x2+6x+0=0
Eliminate terms with 0 to get:
36x2+6x=0
a≠1 so divide through by 36
3636x2+636x=036
which gives us
x2+16x=0
Take half of the x term and square it
[16⋅12]2=1144
then add the result to both sides
x2+16x+1144=+0+1144
Rewrite the perfect square on the left
(x+112)2=+0+1144
and combine terms on the right
(x+112)2=1144
Take the square root of both sides
x+112=±1144−−−−√
Simplify the Radical term (0):
x+112=±112
Isolate the x on the left side and
solve for x (1)
x=−112±112
therefore (3)
x=−112+112
x=−112−112
which becomes
x=0
x=−0.166667
