Question

If zeroes are 2+√​3/5 ,2-√3/5 find the quadratic equation


please it's urgent for me please solve this problem​

Answer 1

Sum of zeroes = 5+2√3 + 5-2√3

= 5 + 5

= 10

product of zeroes = (5+2√3) (5-2√3)

= (5)² - (2√3)²

= 25 - 4×3

= 25-12

= 13

Quadratic polynomial =

{x }^{2} - {sum of zeroes} + {product of zeroes}x

2

−sumofzeroes+productofzeroes

x² - 10 + 13 is the required polynomial.