Question

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

Answer 1

The answer for this problem is C

Answer 2

Answer:

The correct option is 3.

Step-by-step explanation:

The given equation is

$x^2-12x+59$

The quadratic formula is

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Using the above formula, we get

$x=\frac{-(-12)\pm \sqrt{(-12)^2-4(1)(59)}}{2(1)}$

$x=\frac{12\pm \sqrt{144-236}}{2}$

$x=\frac{12\pm \sqrt{-92}}{2}$

$x=\frac{12\pm i\sqrt{92}}{2}$           $[\because \sqrt{-1}=i]$

$x=\frac{12\pm i\sqrt{4\times 23}}{2}$

$x=\frac{2(6\pm i\sqrt{23})}{2}$

$x=6\pm i\sqrt{23}$

Therefore option 3 is correct.