In the question A^B means A raised to the power of B. What is the value of A such that
X^2-11x+A and X^2 -14X +2A will have a common factor?  Choose the correct choice from the following:
A) -1/2
B) 24
C) -3
D) 20
E) 15
due to quadratic equation..... the factor will be like (x-a)(x-b)   lets assume (x-k) is the common factor the   x=k is the root of both the eqn   X^2-11X+A=0 , &amp; X^2-14X+2A=0   satisfying these two equations we get   k^2-11k+A=0 ..................................(1)   k^2-14k+2A=0 ..................................(2)   on solving we will get   k=A/3   substituting this in eq 1 we get A=0 and A= 24   so A=24   ANSWER:24
<result>B</result>
In the question A^B means A raised to the power of B. What is the value of A such that
X^2-11x+A and X^2 -14X +2A will have a common factor?