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x2-20x=-125

 

Solve for x

 Oct 11, 2016

Best Answer 

 #1
avatar
+10

Solve for x:
x^2-20 x = -125

Add 100 to both sides:
x^2-20 x+100 = -25

Write the left hand side as a square:
(x-10)^2 = -25

Take the square root of both sides:
x-10 = 5 i or x-10 = -5 i

Add 10 to both sides:
x = 10+5 i or x-10 = -5 i

Add 10 to both sides:
Answer: |x = 10+5 i               or              x = 10-5 i

 Oct 11, 2016
 #1
avatar
+10
Best Answer

Solve for x:
x^2-20 x = -125

Add 100 to both sides:
x^2-20 x+100 = -25

Write the left hand side as a square:
(x-10)^2 = -25

Take the square root of both sides:
x-10 = 5 i or x-10 = -5 i

Add 10 to both sides:
x = 10+5 i or x-10 = -5 i

Add 10 to both sides:
Answer: |x = 10+5 i               or              x = 10-5 i

Guest Oct 11, 2016
 #2
avatar+5265 
0

Thank you Guest!

rarinstraw1195  Oct 11, 2016

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