Question

greatest value of 4/4x²+4x+9

Answer 1

Answer:

answer D

Step-by-step explanation:

$\frac{4}{4 {x}^{2} + 4x + 9 } \\ \frac{4}{4( {x}^{2} + x + \frac{9}{4} ) } \\ \frac{1}{ {x}^{2} + x + \frac{1}{4} + \frac{8}{4} } \\ \frac{1}{ {x}^{2} + x + \frac{1}{4} + 2 } \\ \frac{1}{ {(x + \frac{1}{2} )}^{2} + 2 }$

The value of x + 1/2 should be equal to zero

because , (x+1/2)^2 can't be negative

so ,

$\frac{1}{ {0}^{2} + 2 } = \frac{1}{2}$

SO THE MINIMUM VALUE OF THE EXPRESSION IS 1/2

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Answer 2

Answer:

you are correct bhayya

the answer must be 1/2 I got this question in our textbook multiple times this question belongs to eamcet textbook part 2.95 or 3rd version