# 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