Which statement describes the solution to the equation a+5(2a−1)+3=11a−2 ?
2 answers:
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Answer:
The correct option is 3.
Step-by-step explanation:
The given equation is
It can be written as
Taking out the common factor form the parenthesis.
If an expression is defined as then we add
to make it perfect square.
In the above equation b=6.
Add and subtract 3^2 in the parenthesis.
.... (1)
Add 32 on both sides.
The vertex from of a parabola is
.... (2)
If a>0, then k is minimum value at x=h.
From (1) and (2) in is clear that a=2, h=-3 and k=-32. It means the minimum value is -32 at x=-3.
The equation reveals the minimum value for the given equation.
Therefore the correct option is 3.