Question

the quadratic equation who roots are 2+√5 and 2-√5

Answer 1

Answer:

Step-by-step explanation:

According to the question,

Roots of quadratic equation are 2 + √5 and 2 - √5

Let α = 2 + √5

ß = 2 - √5

Sum of zeros of polynomial = α + ß

= 2 + √5 + 2 - √5

= 2 + 2

= 4

Product of zeros of polynomial = αß

= (2 + √5)(2 - √5)

= 4 - 5

= -1

Quadratic polynomial = k(x² - (α + ß)x + αß)

=> k(x² - 4x - 1)

'k' is constant.

Hope this helps....:)