Given the difference between the roots of the quadratic equation #x^2#+ #6x# + h - 3 = 0 is 4, where h is a constant. Find the value of h?
3 Answers
Explanation:
Given:
The given equation is in standard form where
We are given two roots; let them be
We know that the axis of symmetry is:
The roots are symmetrically placed about the axis of symmetry, which means that the first root is axis of symmetry minus 2 and the second root is the axis of symmetry plus 2:
Therefore, the factors are:
We can write the following equation to find the value of h:
Another method
Explanation:
We have 2 roots
Explanation:
we have
the difference in roots is 4
so if one root is
the other is
now for any quadratic
with roots
so;
hence