the maximum value of 1/4x^2+2x+1 is
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0
Answer:
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Answered by
1
Step-by-step explanation:
we can find the minimum of the expression 4x
2
+2x+1, that will be the maximum value of the given expression.
We can write the expression as,
4[x
2
+
2
x
+
16
1
+
16
3
]=4[(x+
4
1
)
2
+
16
3
]
This expression is always positive and has minimum value at x=−
4
1
Thus, at x=−
4
1
we get the value of the expression as
4[
16
3
]=
4
3
So, the maximum value of expression is
3
4
.
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