Question

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

Answer 1

X = -4.917

Step-by-step explanation: The goal is when solving for a variable is to get it by itself. First subtract 59 from +59 on the left side and do the same on the right side of the equation. Now you have 12x = -59.

X is multiplied by 12 and to get X by itself we do the opposite, which is divide. Divide 12x by 12 and divide -59 by 12. X = -4.917

Answer 2

The value of x will be:

`x=6+√(23)i,\ and\ x=6-√(23)i`

Explanation:

We are given a quadratic equation in terms of the variable x as follows:

`x^2-12x+59=0`

We know that any quadratic equation of the form:

`ax^2+bx+c=0`

has solution of the type:

`x=(-b\pm √(b^2-4ac))/(2a)`

Here,

a= 1 , b= -12 and c=59

Hence, we have the solution as:

`x=(-(-12)\pm √((-12)^2-4* 1* 59))/(2* 1)\\\\x=(12\pm √(144-236))/(2)\\\\x=(12\pm √(-92))/(2)\\\\x=(12\pm 2i√(23))/(2)\\\\x=6\pm √(23)i`