Completing the Square

x ^{2}+6x+(x+ x+ Solve the quadratic by completing the square. Fill in the blanks with the appropriate steps. x = x ^{2}+6x=-8smaller # = ) ^{2}=1 and -1 and x= =-8+ larger # Rewrite each side of the equation. Take the square root of both sides. Subtract 3 from both sides of the equation. Complete the square! Balance the equation. x x ^{2 }- 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 sides of the equation Left side: Rewrite the left side of the equation as a binomial, squared Take half of -2; square it. Balance the equation. Add 1 to both sides of theequation; list the solutions x ^{2}+6x+(x+ Solve the quadratic by completing the square. Fill in the blanks with the appropriate steps. x x = -3-12i x+ = ) ^{2}=12i and -12i and 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) = x ^{2 }– 6x + ___ + 2 +Vertex: ( , ) f(x) = x f(x) = (x – ) ^{2} + complete the square write as a perfect square binomial offset what you added Using Completing the Square to Solve Quadratic Equations That Can't Be Factored |

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