Math, asked by sneetu5550, 1 year ago

Find the greatest value of 3+5x-2x2 for all real values of x

Answers

Answered by Anonymous
6
Hey


The given equation is :-


3 + 5x - 2x²


Or we can write


-2x² + 5x + 3


It is a quadratic equation , so only two value if x will come .


Let's find out :-


- 2 x² + 5x + 3 = 0


=> 2x² - 5x - 3 = 0


=> 2x² - 6x + x - 3 = 0


=> 2x ( x - 3 ) + 1 ( x - 3 ) = 0


=> ( 2x + 1 ) ( x - 3 ) = 0


Now ,


2x + 1 = 0

=> x = -1 / 2


And

x - 3 = 0


=> x = 3

So ,


greatest value of x = 3


thanks :)
Answered by shruti2901
6

Answer:

Step-by-step explanation:

Find the maximum or minimum value of f(x) = 2x^2 + 3x - 5

f(x) = 2x^2 + 3x -5

First we notice that the function has a positive coefficient for x^2.

Then the fucntion has a minimum values.

Now we will find the derivatives zero.

==> f'(x) = 4x +3 = 0

==> 4x = -3

==> x = -3/4

==> f(-3/4)= 2(-3/4)^2 + 3(-3/4) -5

= 2* 9/16 - 9/4 - 5

= (18- 36 - 80)/16 = -98/16 = -49/8.

==> The minimum values is f(-3/4) = -49/8.

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