Name: Date: School: Facilitator: 6.01 Solving Quadratic Equations by Completing the Square Determine the value of for each of the following quadratic expressions. Show your work in the space c provided. 1. 14x + = x2 c c – Show work here = ( )2 = 2. + 16x + = x2 c c Show work here = ( )2 = 3. 6x + = x2 c c – Show work here = ( )2 = 4. 24x + = x2 c c – Show work here = ( )2 = Factor each of the following by completing the square. 5. 12x + 27 = 0 Solutions: = and = x2 x x – Equation to complete the square: Show work here to find the c-value. = ( )2 = the sign of the binomial) Show work here to factor: (Don’t forget (x )2 =
Name: Date: School: Facilitator: 6.01 Solving Quadratic Equations by Completing the Square Determine the value of c for each of the following quadratic expressions. Show your work in the space provided. 1. x2 – 14x + c c = Show work here = ( )2 = 2. x2 + 16x + c c = Show work here = ( )2 = 3. x2 – 6x + c c = Show work here = ( )2 = 4. x2 – 24x + c c = Show work here = ( )2 = Factor each of the following by completing the square. 5. x2 – 12x + 27 = 0 Solutions: x = and x = Equation to complete the square: Show work here to find the c-value. = ( )2 = Show work here to factor: (Don’t forget the sign of the binomial) (x )2 =
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