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erik [133]
3 years ago
6

What are the zeros of the following quadratic equation: y = 6x2 - 17x - 3

Mathematics
1 answer:
Mama L [17]3 years ago
5 0

Answer:

\displaystyle x=-\frac{1}{6}, 3

Step-by-step explanation:

Hi there!

y = 6x^2 - 17x - 3

Factor by grouping:

y = 6x^2 - 18x+1x - 3\\y = 6x(x- 3)+1x - 3\\y = 6x(x- 3)+(x - 3)\\y = (6x+1)(x- 3)

Let y=0. Apply the zero product property:

0 = (6x+1)(x- 3)

6x+1=0\\6x=-1\\\\\displaystyle x=-\frac{1}{6}

AND

x-3=0\\x=3

I hope this helps!

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Answer:

(0,2.3)    if only one choice expected.

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Step-by-step explanation:

From the attached diagram, the given answer optsions are shown in brown.

The red line shows the optimal combinations of the two variables, hence a maximization problem.

Out of the four answer options, two coincide with a vertice of the valid region (shown in green), namely (0,0) and (0, 2.3).

Out of the two indicated options which correspond to a vertex, the origin (0,0) is usually ignored for a maximization problem, which leaves us with (0,2.3) as the answer.

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3 years ago
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Answer:

12.5

Step-by-step explanation:

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