Question

find the quadratic polynomial the sum and product of whose are 2+root5 by 2 and 2-root5 by 2​

Answer 1

Answer:

Here's your answer:

Answer 2

HERE IS YOUR ANSWER MATE.....;

WE KNOW THAT POLYNOMIAL = X^2 -(SUM)X +(PRODUCT)

$= >( x {}^{2} - ( \frac{2 + \sqrt{5} }{2} )x + ( \frac{2 - \sqrt{5} }{2} ) ) \times k$

K IS ANY REAL NUMBER

$= > (\frac{2x ^{2} + 2x + \sqrt{5} x + 2 - \sqrt{5} }{2} ) \times 2$

$= > 2x {}^{2} + 4.2x - 0.3$

HOPE ITS HELPFUL....:-)