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x^2+ax+a =1 what is value of a plz

 Sep 25, 2014

Best Answer 

 #1
avatar+23245 
+5

Solving this for x: x² + ax + a = 1

---> ax + a = 1 - x²

---> a(x + 1) = 1 - x²

---> a = (1 - x²) / (x + 1)

---> a = (1 - x²) / (1 + x)

---> a = (1 + x)(1 - x) / (1 + x)

---> a = 1 - x       (provided that x ≠ -1)

 Sep 25, 2014
 #1
avatar+23245 
+5
Best Answer

Solving this for x: x² + ax + a = 1

---> ax + a = 1 - x²

---> a(x + 1) = 1 - x²

---> a = (1 - x²) / (x + 1)

---> a = (1 - x²) / (1 + x)

---> a = (1 + x)(1 - x) / (1 + x)

---> a = 1 - x       (provided that x ≠ -1)

geno3141 Sep 25, 2014

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