Question

if b^2 -4ac > 0 in ax^2+bx+c=0 then what can you say about root of the equations?( a≠0)​

Answer 1

Answer:

Step-by-step explanation:

Suppose a polynomial function f(x) of nth degree with roots a_1,a_2,a_3,...,a_n

If all the roots have to be incremented by the same value (say k) which makes the new roots as a_1+k,a_2+k,a_3+k,....,a_n +k t hen it is equivalent to translating the graph laterally k units towards positive X axis.

Hence a graph with its origin shifted to (k, 0) will have the same roots which is equivalent to f(x-k) ..So here's your solution.