Question

Construct a quadratic equation whose root are 2-√3 and 2+√3​

Answer 1

Explanation:

A quadratic equation can be constructed from their roots,

`(x - p)(x - q)`

where p and q are the roots.

Here the roots are

`2 - √(3)`

and

`2 + √(3)`

So we have

`(x - (2 - √(3) ))(x - (2 + √(3) ))`

`{x}^(2) - 2x - x √(3) - 2x + x √(3) + 4 - 3`

`{x}^(2) - 4x + 1 = 0`

So our answer is x^2

`{x}^(2) - 4x + 1 = 0`