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Help!! Show work please!

 Apr 24, 2018
 #1
avatar
+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"

 Apr 24, 2018
 #2
avatar+156 
+1

Thank you so much!! I appreciate it! 

mathelp  Apr 24, 2018

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