Question

Form a quadratic polynomial whose zeroes are3-√3/5and 3+√3/5​

Answer 1

Answer:

$\sf{Sum \ of \ zeroes=\dfrac{3-3\sqrt5}{5}+\dfrac{3+3\sqrt5}{5}}$

$\sf{=\dfrac{9}{5}}$

$\sf{Product \ of \ zeroes=\dfrac{3-3\sqrt5}{5}\times\dfrac{3+3\sqrt5}{5}}$

$\sf{=\dfrac{-36}{25}}$

Quadratic polynomial

x²- ( Sum of zeroes)x + ( Product of zeroes)

$\sf{x^{2}-\dfrac{9x}{5}-\dfrac{36}{25}}$

$\sf{I.e \ 25x^{2}-45x-36}$