Question

X=A- B/A. How to find A? ​

Answer 1

Answer:

A = $\frac{ x+\sqrt{x^2+4b}}{2}, \frac{ x-\sqrt{x^2+4b}}{2}$

Step-by-step explanation:

First manipulate the equation as such,

$x=A-\frac{B}{A}$

$0=A - \frac{B}{A} - X$

$0=A^2 -AX - B$

Then use the quadratic formula,

$x= \frac{-b\pm\sqrt{b^2-4ac} }{2a}$ when, $0 = ax^2 +bx +c$.

Which gives  $A= \frac{ x+\sqrt{x^2+4b}}{2}, \frac{ x-\sqrt{x^2+4b}}{2}$.