Posted by **Anonymous** on Tuesday, December 25, 2012 at 3:56pm.

Solve the equation by completing the square.

x^2-2=9x

My answer: x=9/2+or- the sqrt. of 22.25

(but when I checked my answer the actual answer was x=9+or - the sqrt. of 89 and then all over 2)

Please explain why my answer is different from the actual answer.

- Algebra 2 .. -
**Steve**, Tuesday, December 25, 2012 at 4:49pm
x^2 - 9x = 2

x^2 - 9x + (9/2)^2 = 2 + (9/2)^2

(x - 9/2)^2 = 89/4

x = 9/2 ± √(89/4)

x = 9/2 ± √22.25

but you could also factor out the 1/4 in 89/4 and say

x = 9/2 ± √89/√4

x = 9/2 ± √89/2

x = (9 ± √89)/2

these exercises usually want things as fractions rather than decimals, and the quadratic formula usually expresses the answers as they did.

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