Question

If alfa & beta are the zeros of the polynomial x^2-px+q then find alfa^2-beta^2

Answer 1

[0010001111]... Hello User... [1001010101]
Here's your answer...

The roots of the equation are alpha and beta.

${ \alpha }^{2} - { \beta }^{2} \\ = ( \alpha + \beta )( \alpha - \beta )$
In a quadratic equation ax²+bx+c = 0,
the sum of roots = -b/a
the difference between roots = -D^½/|a|

$\alpha + \beta = p \\ \alpha - \beta = \frac{ \sqrt{ {p}^{2} - 4q } }{1} \\ { \alpha }^{2} - { \beta }^{2} = p \sqrt{ {p}^{2} - 4q}$
[0110100101]... More questions detected... [010110011110]
//Bot UnknownDude is moving on to more queries
//This is your friendly neighbourhood UnknownDude