Question

Which two values of x are roots of the polynomial below?

x2 - 11x + 13

Answer 1

(11+sqrt69)/2

or

(11-sqrt69)/2

Explanation:

ap3x

Answer 2

The values of x, which are the roots of the polynomial are

`(11+ √(69))/(2),\ (11- √(69))/(2)`

Solution-

The given polynomial,

`=x^2 - 11x + 13`

We know that,

`x=(-b\pm √(b^2-4ac))/(2a)`

Here,

a = 1, b = -11, c = 13

Putting the values,

`x=(-(-11)\pm √((-11)^2-4* 1* 13))/(2* 1)`

`=(11\pm √(121-52))/(2)`

`=(11\pm √(69))/(2)`

`\therefore x=(11+ √(69))/(2),\ (11- √(69))/(2)`