Question

How do you write a quadratic equation in standard form with the given roots 1/4, 3?

Answer 1

`4x^2-13x+3=0`

Explanation:

For a quadratic equation of the form: `ax^2+bx+c =0` to have roots of `1/4` and `3`

`-> (4x-1) and (x-3)` must be factors of `ax^2+bx+c`

`:. (4x-1)(x-3) = 0`

`4x^2-13x+3=0`

`a=4, b=-13, c=3`