Question

write the quadratic equation whose roots are 2 + root 3 and 2 minus root 3​

Answer 1

HØLÀ .. ♥

Given,

Roots of equation = 2 + √3 and 2 - √3

So, sum of zeroes

α + β = 2 + √3 + 2 - √3

α + β = 4

And, product of zeroes

αβ = ( 2 + √3 ) ( 2 - √3 )

αβ = 4 - 3

αβ = 1

We know that

x² - (α + β)x + αβ = 0

x² - 4x + 1 = 0

Hence, the required equation is x² + 4x + 1 = 0