#1**+3 **

Solve for x:

x^2 - 10 x + 36 = 0

Solve the quadratic equation by completing the square.

Subtract 36 from both sides:

x^2 - 10 x = -36

Take one half of the coefficient of x and square it, then add it to both sides.

Add 25 to both sides:

**x^2 - 10 x + 25 = -11**

Factor the left hand side.

Write the left-hand side as a square:

**(x - 5)^2 = -11**

Eliminate the exponent on the left-hand side.

Take the square root of both sides:

x - 5 = i sqrt(11) or x - 5 = -i sqrt(11)

Look at the first equation: Solve for x.

Add 5 to both sides:

x = 5 + i sqrt(11) or x - 5 = -i sqrt(11)

Look at the second equation: Solve for x.

Add 5 to both sides:

x = 5 + i sqrt(11) or x = 5 - i sqrt(11)

**The answer is "C"**

Guest Apr 24, 2018