Question

If one zero of a quadratic polynomial x2 - 4x + 1 is 2 + V3, then other zero will be


Elaborate the steps don't type simply answer​

Answer 1

Step-by-step explanation:

$\sf \large{\underline{Question:-}}$

If one zero of a quadratic polynomial x² - 4x + 1 is 2 + √3, then other zero will be

$\sf \large \underline{Solution:-}$

since, it is a quadratic polynomial it has maximum of two roots.

let the first zero be $\alpha$

and second zero be $\beta$

We know that,

$\rm\alpha + \beta = \dfrac{-b}{a}$

$\tt 2+ \sqrt{3} + \beta = \dfrac{-(-4)}{1}$

$\tt 2+ \sqrt{3} + \beta = 4$

$\tt \sqrt{3} + \beta = 4-2$

$\tt \beta = 2-\sqrt{3}$

$\sf \large \underline{ Answer:-}$

So, the other root is $\tt 2- \sqrt{3}$

Answer 2

Answer:

Step-by-step explanation: