Question

Write a quadratic equation whose roots are 2 + √3 or 2 - √3​

Answer 1

Answer:

x^2+x(sum of roots)+constant(products of roots)

Answer 2

Sum of roots =α+β=2 + √3 +2 - √3=4

Product of roots= =αβ

=(2 + √3) (2 - √3)=(2)²-(√3)²=4-3=1

Quadratic equation formula => x²-(sum of roots)x + (product of roots) = 0

Quadratic equation=> x²-4x+1=0