Question

Write the quadratic equation whose coefficient with x2 equal to 1 and roots are:

1/2√3 and 2√3

Answer 1

`x^(2)-(5√(3))/(2)x+3`

Explanation:

we know that

The quadratic equation is equal to

`(1)(x-(√(3))/(2))(x-2√(3))\\ \\=x^(2) -2√(3)x-(√(3))/(2)x+3\\ \\=x^(2)-(5√(3))/(2)x+3`