6. Topic One: (Ex. 1) Solve x2‐ 66x = ‐945 by completing the square.
Factoring by Completing the Square ‐ DOTS
Completing the Step One: Get the equation in Normal Form and equal
Square to zero.
Step Two: Half the coefficient of x. Square your result and
add it to the first two terms.
Step Three: Rewrite your polynomial using DOTS and
by fixing the constant term.
Step Four: Solve using ZPP.
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7. Topic One: (Ex. 1) Solve x2‐ 66x = ‐945 by completing the square.
Factoring by Completing the Square ‐ Square Root
Completing the
Square Step One: Get the constant alone on one side of
equation.
Step Two: Build a perfect square trinomial. (* Be careful
to add new constant to BOTH sides of the equation!)
Step Three: Solve your equation.
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8. Topic One: (Ex. 2) Solve x2 + 120 = 23x by completing the square.
Factoring by
Completing the
Square
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9. Topic One:
It's Your Turn!!! Solve each of the following quadratics using completing
the square.
(Ex. 3 & 4) x2 + 19x + 84 = 0 x2 ‐ 8x + 15 = 0
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10. Topic Two: Will types of solutions can we expect when solving
quadratics?
Quadratic Solutions
Solve each of the following using completing the
square.
(Ex. 5) x2 ‐ 24x = ‐ 200
2
(Ex. 6) x + 24x + 42 = 0
(Ex. 7) x2 ‐ 12x + 45 = 0
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11. Topic Two: Let's apply our findings from before to these examples.
Quadratic Solutions
(Ex. 8) For what values of c does x2 ‐ 66x + c = 0 have the
following results?
a. two distinct integer solutions
b. only one integer solutions
c. no integer solutions
It's Your Turn!!!
(Ex. 9 ) For what values of c does x2 ‐ 35x + c = 0 have the
Discuss Ex. 9 with following results?
your partner.
a. one distinct solution
b. only one solution
c. no Real number solutions
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12. Homework: • Pg. 666 # 1, 2, 5, 7, 14, 20, 22 (as is on assignment
sheet)
• Study for 7.11 Mini Quiz
• Rough Draft # 2 for Writing Assignment 2
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