SOLUTION: 11 It is given that -1/2 is a root of the equation 10x^2-9x+k=0, where k is a constant. Find
(a) the value of k
(b) the other root
Algebra.Com
Question 313587: 11 It is given that -1/2 is a root of the equation 10x^2-9x+k=0, where k is a constant. Find
(a) the value of k
(b) the other root
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
It is given that -1/2 is a root of the equation 10x^2 - 9x + k = 0, where k is a constant.
A root of -1/2 give us a factor of: (2x + 1)
:
The other factor to satisfy the middle term of -9x: (5x - 7)
:
FOIL (2x + 1)(5x - 7)
10x^2 - 14x + 5x - 7
10x^2 - 9x - 7 = 0
Find
(a) the value of k
k = -7
:
(b) the other root
5x - 7 = 0
5x = 7
x =
RELATED QUESTIONS
Given that the equation {{{kx^2+12x+k=0}}} where k is a positive constant and has equal... (answered by lynnlo,vleith)
given that a root is two times the other root of the quadratic equation 4x^2-18x=k=0.... (answered by ankor@dixie-net.com)
Given the equation kx^2+(k-1)x+2k+3=0 where k is a non-zero integer, find the value of k... (answered by josmiceli)
consider the polynomial P(x)=x^3+3x^2+(3-k)x+1-k where k is a constant.
a, show that... (answered by math1239028)
if a and B are the roots of a quadratic equation 2x^2+5x+k=0 where k is constant
and the (answered by Edwin McCravy)
If one root of the equation ... 2x^2+10x+k=0 is -2, find K and the other... (answered by robertb,ewatrrr)
Pls help in solving: if A and B are roots of the equation : {{{ 2x^2 + 5x + K=0}}}... (answered by josmiceli)
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)