Question

If 2+√3 and 3-√3 is zeros of quadratic polynomial find the quadratic eqn

Answer 1

$\textbf{Answer :}$

Since (2 + √3) and (3 - √3) are two zeroes of the required polynomial, the required polynomial be

{ x - (2 + √3) } { x - (3 - √3) }

= x² - (3 - √3)x - (2 + √3)x + (2 + √3) (3 - √3)

= x² - (3 - √3 + 2 + √3)x + (6 - 2√3 + 3√3 - 3)

= x² - 5x + (3 + √3)

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