Completing the Square
 x2+6x+(x+x+Solve the quadratic by completing the square.   Fill in the blanks with the appropriate steps.  x =x2+6x=-8smaller #=)2=1 and -1and x==-8+larger #Rewrite each side of the equation.Take the square root of both sides.Subtract 3 from both sidesof the equation.Complete the square!Balance the equation. x2 - 2x = 3x2 - 2x +( x -Solve the quadratic by completing the square.   Fill in the blanks with the appropriate steps.  x =x-smaller #=)2 =and x=2 and -2=3 +larger #Take the square root of both sidesof the equationLeft side: Rewrite the left side ofthe equation as a binomial, squaredTake half of -2; square it.Balance the equation.Add 1 to both sides of theequation; list the solutions x2+6x+(x+Solve the quadratic by completing the square.   Fill in the blanks with the appropriate steps.  x2+6x=-153x = -3-12ix+=)2=12i and -12iand x==-153+Write a perfect square binomial.Take the square root of both sides of the equation.Complete the square;Balance the equation.Subtract 3 from both sides. Write complexsolutions as a + bi. A quadratic function is given in standard form. Rewrite the equation in vertex form by completing the square.Then identify the vertex of the parabola.f(x) = x2 – 6x + ___  + 2 +Vertex:  (         ,         )f(x) = x2 – 6x + 2f(x) = (x –        )2 + complete the squarewrite as a perfect squarebinomialoffset whatyou added Using Completing the Square to Solve Quadratic Equations That Can't Be Factored
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