Solve for x in the equation x2-12x+59=0.

x1=6 + i4.80 x2=6 - i4.80

Step-by-step explanation:

Since 59 is a prime number we will use the quadratic formula to solve this problem:

x = (-b ± √ (b^2-4ac)) : 2a

Here a=1 b = - 12 c=59

Plugging these values in the formula:

x = (12 ± √ ((-12) ^2 - 4 (1) (59)) : 2 (1)

x = (12 ± √ (144 - 236)) : 2

x = (12 ± √-92) : 2

As we know that √-1 = i and √-92 can be written as √92 * √-1 so:

x = (12 ± i√92) : 2

x1 = (12 + i 9.59) : 2 x2 = (12 - i 9.59) : 2

x1=6 + i4.80 x2=6 - i4.80

The given equation has no real solutions, both are imaginary.