Can i solve for the quadratic coefficients with only the maximum value given and an "x"
Favorites|Homepage
Subscriptions | sitemap
HOME > Mathematics > Can i solve for the quadratic coefficients with only the maximum value given and an "x"

Can i solve for the quadratic coefficients with only the maximum value given and an "x"

[From: ] [author: ] [Date: 11-11-11] [Hit: ]
we need more info.in general N unknowns requires N unique conditions to solve a problem.here N=2 ( unknowns were B and C) but only one condition was given.EDIT,Edit: solution:a = -1 , b = 4 ,......
y= -x^2+bx+c has a maximum value of when x = 2

-
maximum value is when slope of parabola is zero (y ' = 0)

y ' = -2x+b=0

using value x=2 will reveal value of b, so b=4
but we still don't know value of c which shifts parabola vertically (along y axis) so
answer is no. we need more info.

in general N unknowns requires N unique conditions to solve a problem.
here N=2 ( unknowns were B and C) but only one condition was given.

EDIT,

since it was also revealed that maximum value of Y is 5
we can solve it completely:

5= -2^2+4*2+C
so
C=1
so finally:
y=-x^2 + 4x+1

-
y= -x^2+bx+c
y(2) = -4 + 2b + c = 5
y' = -2x + b
-4 + b = 0
b = 4
-4 + 8 + c = 5
c = 1
y = -x^2 + 4x + 1

Edit: solution: a = -1 , b = 4 , c = 1 => y = ax^2 + bx + c => standard equation
1
keywords: and,with,quadratic,Can,value,solve,given,coefficients,quot,for,maximum,an,only,the,Can i solve for the quadratic coefficients with only the maximum value given and an "x"
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .