SOLUTION: f(x)=−x^2+4x+1 g(x)=x+1 What are the solutions to the equation f(x)=g(x)?

Algebra ->  Rational-functions -> SOLUTION: f(x)=−x^2+4x+1 g(x)=x+1 What are the solutions to the equation f(x)=g(x)?      Log On


   

Question 1131027: f(x)=−x^2+4x+1
g(x)=x+1
What are the solutions to the equation f(x)=g(x)?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+graph%28+500%2C+500%2C+-7%2C+7%2C+-7%2C+7%2C+-x%5E2+%2B+4x+%2B+1%2C+x+%2B+1+%29+
+-x%5E2+%2B+4x+%2B+1+=+x+%2B+1+
+-x%5E2+%2B+3x+=+0+
+x%2A%28+-x+%2B+3+%29+=+0+
+x+=+0+
+x+=+3+
--------------------
+x+=+0+
+y+=+-0%5E2+%2B+4%2A0+%2B+1+
+y+=+1+
( 0, 1 ) is a solution
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+x+=+3+
+y+=+-3%5E2+%2B+4%2A3+%2B+1+
+y+=+-9+%2B+12+%2B+1+
+y+=+4+
( 3, 4 ) is a solution
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This checks with the plots