Answer:
0.25.
Explanation:
x^2 + x = 11
(x + 0.5)^2 - 0.25 = 11
(x + 0.5)^2 - 0.25 + 0.25 = 11 + 0.25
(x + 0.5)^2 = 11.25.
add 1/4 to each side
x^2+x=11
We take the coefficient of the x term
1
Then divide it by 2
1/2
Then square it
(1/2) ^2 = 1/4
Add this to both sides of the equation
x^2 + x + 1/4 = 11+1/4
(x+1/2)^2 = 11 1/4
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