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Solve by completing the square.
w2 – 16w – 19 = 0

1 Answer

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Answer:

Factoring w2-16w+19

The first term is, w2 its coefficient is 1 .

The middle term is, -16w its coefficient is -16 .

The last term, "the constant", is +19

Step-1 : Multiply the coefficient of the first term by the constant 1 • 19 = 19

Step-2 : Find two factors of 19 whose sum equals the coefficient of the middle term, which is -16 .

-19 + -1 = -20

-1 + -19 = -20

1 + 19 = 20

19 + 1 = 20

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

w2 - 16w + 19 = 0

hope it helps

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