What is the maximum value of 1- x 2-3 x -A- 10 - 4B- 9 - 4C- 13 - 4D- 14 - 4

The correct option is C (13/4) 1 x^2 3x (13/4 ) (x+(3/2 ) )^2 For the above value to be maximum (x+(3/2 ) )^2 should be zero. Maximum value = (13/4 ) ...

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Standard X

Mathematics

Solving a Quadratic Equation by Factorization Method

What is the m...

Question

What is the maximum value of $1 - x^{2} - 3 x$ ?

(10/4)

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(9/4)

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(13/4)

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(14/4)

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Solution

The correct option is C
(13/4)

$1 - x^{2} - 3 x$
$(\frac{13}{4}) - {(x + (\frac{3}{2}))}^{2}$
For the above value to be maximum ${(x + (\frac{3}{2}))}^{2}$ should be zero.
Maximum value = $(\frac{13}{4})$

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What is the maximum value of 1−x2−3x?

The correct option is C (13/4) 1−x2−3x (134)−(x+(32))2 For the above value to be maximum (x+(32))2 should be zero. Maximum value = (134)

What is the maximum value of $1 - x^{2} - 3 x$ ?

The correct option is C
(13/4)

$1 - x^{2} - 3 x$
$(\frac{13}{4}) - {(x + (\frac{3}{2}))}^{2}$
For the above value to be maximum ${(x + (\frac{3}{2}))}^{2}$ should be zero.
Maximum value = $(\frac{13}{4})$