Question

find the quadratic polynomial whose zeroes are√3+√5and√5-√3​

Answer 1

ANSWER:

x² - 2√5x + 3

Step-by-step explanation:

given that,

the zeros of a quadratic equation,

√3+√5and√5-√3

let,

√3+√5 = α

√5-√3 =β

and we know that,

quadratic equation when the zeros are given as α and β then,

quadratic equation

= x² - (α + β)x + αβ

putting the values,

x² - (√3+√5 + √5 - √3)x + (√3+√5)(√5-√3)

x² - 2√5x + {(√5)² - (√3)²}

x² - 2√5x + (5 - 2)

x² - 2√5x + 3

so,

the required quadratic equation

x² - 2√5x + 3

IDENTITY USED

(a + b)(a - b) = a² - b²

Answer 2

Answer:

Try this solution . I hope it help you

........Mark Brainlist.............