SOLUTION: please help me solve this equation; {{{ y>-2x^2+8x-4 }}}

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Question 1169683: please help me solve this equation; +y%3E-2x%5E2%2B8x-4+
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
solve for y = -2x^2 + 8x - 4
set y = 0 and switch sides to get:
-2x^2 + 8x - 4 = 0
divide both sides of the equation by 2 to get:
-x^2 + 4x - 2 = 0
multiply both sides of the equation by -1 to get:
x^2 - 4x + 2 = 0
factor the equation to get:
x = 3.4142135623731 or x = 0.5857864376269

those values of x are when -2x^2 + 8x - 4 is equal to 0.
check values in outside and in between those zero points.
i tried x = 0, x = 2, x = 4
when x = 0, the result was negative.
when x = 2 the result was positive.
when x = 4, the result was negative.

since you want to know when -2x^3 + 8x - 4 is greater than zero, that would be when .5857864376269 < x < 3.414235623731

the graph of the equation shows this to be true.



Answer by ikleyn(52925) About Me  (Show Source):
You can put this solution on YOUR website!
.
please help me solve this equation; +y%3E-2x%5E2%2B8x-4+
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    ATTENTION  (!)         ATTENTION  (!)         ATTENTION  (!)



                Hello,

                what is written in your post,  is not an equation,  at all.

                It is     I N E Q U A L I T Y,     instead.



So,  if you want to get help,  then  PLEASE  make all necessary corrections and re-post to the forum.

If you do,  then  PLEASE  do not post it to me personally - - - repost to the forum  ONLY.


The solution for an inequality is  TOTALLY  DIFFERENT  from that for an equation  (!)


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