Solve 3x^2=-12-6x by completing the square
1 answer:
Answer:
x = - 1 ± i
Step-by-step explanation:
Given
3x² = - 12 - 6x ( add 6x to both sides )
3x² + 6x = - 12 ( divide through by 3 )
x² + 2x = - 4
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = - 4 + 1
(x + 1)² = - 3 ( take the square root of both sides )
x + 1 = ± = ± i
( subtract 1 from both sides )
x = - 1 ± i
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ANSWER
C. The left end goes up; the right end goes down.
EXPLANATION
The given function is
We analyze the end behavior of this function using the leading term.
The leading term of this function is:
Since the degree(5) is odd and the leading coefficient (-2) is negative, the graph rises on the left and falls on the right.
In other words, the left end of the graph goes up and the right end goes down.
The correct option is C.