Question

Solve for x in the equation x^2-12x+59=0

Answer 1

the answer for this problem is C

Answer 2

The correct option is 3.

Explanation:

The given equation is

`x^2-12x+59`

The quadratic formula is

`x=(-b\pm √(b^2-4ac))/(2a)`

Using the above formula, we get

`x=(-(-12)\pm √((-12)^2-4(1)(59)))/(2(1))`

`x=(12\pm √(144-236))/(2)`

`x=(12\pm √(-92))/(2)`

`x=(12\pm i√(92))/(2)`
`[\because √(-1)=i]`

`x=(12\pm i√(4* 23))/(2)`

`x=(2(6\pm i√(23)))/(2)`

`x=6\pm i√(23)`

Therefore option 3 is correct.