Solving for all real values of X.

da5id

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Aug 6, 2009
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Hi, I am stuck on this problem: x[sup:2yf4e2sh]2[/sup:2yf4e2sh]-9x+9=0

Can someone help me walk me through this problem? Thanks in advance!
 
x^2 - 9x + 9 = 0 is not factorable, so we must use Quadratic Formula or complete the square. Since b is not even, completing the square is not that simple, involving fractions and all. So use Quadratic Formula.

x = [-b ± ?(b^2 - 4ac)]/(2a) = {-(-9) ± ?[(-9)^2 - 4(1)(9)]}/(2•1) = [9 ± ?(81 - 36)]/2 = [9 ± ?45]/2 = [9 ± 3?5]/2
 
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