1 Solve by completing the square and then use the square root methodto solve. x

Question

1
Solve by completing the square and then use the square root methodto solve. x2 - 4x - 32 = 0 A. {-8, 4} B. {-2, 16} C. {-4, 8} D. {-16, 2}

2

First factor the trinomial as a binomial square and then use thesquare root method to solve. Round the solution to the nearesttenth. x2 - 14x + 49 = 3 A. {5.3, 8.7} B. {4.8, 9.2} C. {3.5, 7.5} D. {6.2, 8.3}
1
Solve by completing the square and then use the square root methodto solve. x2 - 4x - 32 = 0 2

First factor the trinomial as a binomial square and then use thesquare root method to solve. Round the solution to the nearesttenth. x2 - 14x + 49 = 3 A. {-8, 4} B. {-2, 16} C. {-4, 8} D. {-16, 2}

2

First factor the trinomial as a binomial square and then use thesquare root method to solve. Round the solution to the nearesttenth. x2 - 14x + 49 = 3 A. {5.3, 8.7} B. {4.8, 9.2} C. {3.5, 7.5} D. {6.2, 8.3}

Explanation / Answer

(1)x2 - 4x - 32 = 0 -->(x+4)(x-8)=0 --> x=-4 or 8 Answer: C. {-4, 8} (2)x2 - 14x + 49 = 3 --> x2 - 14x + 49 -3=0 --> x2 - 14x + 46 =0 --> (x2 - 14x +49) -49 + 46=0 --> (x2 - 14x +49) -3=0 --> (x-7)2=3 --> x-7 = ± 3 --> x = 7 ± 3         =5.3 or 8.7 Answer: A. {5.3, 8.7}

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