Question

if one zero of the polynomial x²-4x-1 is 2√3. write the other zero

Answer 1

➡HERE IS YOUR ANSWER⬇

♧♧RULE♧♧

We consider a quadratic equation :

$a {x}^{2} + bx + c = 0$

Then, by Sridhar Acharya's rule :

$x = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \: and \: x = \frac{ - b + \sqrt{ {b}^{2} + 4ac } }{2a}$

♧♧SOLUTION♧♧

Given polynomial, considering as an equation, we get :

${x}^{2} - 4x - 1 = 0$

By Sridhar Acharya's rule, we get :

$x = 2 + \sqrt{5} \: \: and \: \: x = 2 - \sqrt{5}$

⬆HOPE THIS HELPS YOU⬅