SOLUTION: What are the solutions to the equation? 3x^2 + 3 = 7x

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: What are the solutions to the equation? 3x^2 + 3 = 7x      Log On


   

Question 971885: What are the solutions to the equation?
3x^2 + 3 = 7x
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+3x%5E2+%2B+3+=+7x+
You need to get this into the form:
+ax%5E2+%2B+b%2Ax+%2B+c+=+0+
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Subtract +7x+ from both sides
+3x%5E2+-+7x+%2B+3+=+0+
You can use the quadratic formula
+x+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+
+a+=+3+
+b+=+-7+
+c+=+3+
+x+=+%28+-%28-7%29+%2B-+sqrt%28+%28-7%29%5E2+-+4%2A3%2A3+%29%29+%2F+%282%2A3%29+
+x+=+%28++7+%2B-+sqrt%28+49+-+36+%29%29+%2F+6+
+x+=+%28+7+%2B+sqrt%28+13+%29+%29+%2F+6+
and
+x+=+%28+7+-+sqrt%28+13+%29+%29+%2F+6+