SOLUTION: 1) if roots of a equation :f(x) = a(x-2)² + k,  a ≠ 0, are A  and B, |B - A|= 12 b, find value of k ? 
2) if roots of f(x) = a(x-r)² + k,  a ≠ 0, are A  and B, 
, r = ½ 
Algebra.Com
Question 1203021:  1) if roots of a equation :f(x) = a(x-2)² + k,  a ≠ 0, are A  and B, |B - A|= 12 b, find value of k ? 
2) if roots of f(x) = a(x-r)² + k,  a ≠ 0, are A  and B, 
, r = ½ , |B - A|= 5rb ,  then f(x) =.... 
 
Answer by greenestamps(13215)   (Show Source): You can put this solution on YOUR website!
 
There is a "b" in both of these problems which is not defined.  Possibly in the reference you are using "b" is defined; but it has no standard meaning, so we have no idea what it is supposed to mean.  And therefore of course we can't help you with the problem.
If you want help with the problem, re-post it in a way that we have a chance of being able to help....
 
RELATED QUESTIONS
1) if roots of a equation :f(x) = a(x-2)² + k,  a ≠ 0, are A  and B, |B - A|= 12 b,... (answered by Edwin McCravy,greenestamps)
1) if roots of f(x)= a(x-2)² + k,  a ≠ 0, are A  and B, 
|B - A|= 12 b,  then k... (answered by greenestamps)
The equation 2(x^2+12)+kx=0
where k <0 has roots a and b where a-b=4.Find the value of... (answered by J2R2R)
The equation 8x-x^2=k-2 has roots a and b. Find the value of k if the roots differ by... (answered by mananth)
Find the value of k on x^2+3x+k-1=0 if the quadratic equation has:
a) equal roots
b)... (answered by Fombitz)
Find the value of k in x^2+3x+k-1=0 if the quadratic equation has:
a) equal roots
b)... (answered by Fombitz)
The cubic polynomial f(x) is such that the coefficient of x^3 is -1 and the roots of the... (answered by KMST)
f(x) = x^3 + (1 - k^2)x + k
(a) Show that -k is a root of f.
I've already solved this  (answered by jsmallt9)
1(a): If k=(x-1)²/x²+4,where k is a real number, show clearly that (k-1)x²+2x+(4k-1)=0
 (answered by solver91311)