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2 years ago

Find the zeros of y = x2 - 4x - 9 by completing the square.

1 answer:

6 0

${x}^{2} - 4x - 9 = 0 \\ d = {( - 4)}^{2} - 4 \times ( - 9) = 52 = (2 \sqrt{13} ) ^{2} \\ x = \frac{4 + 2 \sqrt{13} }{2} = 2 + \sqrt{13} \\ x = \frac{4 - 2 \sqrt{13} }{2} = 2 - \sqrt{13}$

Zeros of function:

2+_/13

2-_/13

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Answer:

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Step-by-step explanation:

First, find the amount spent on the textbooks:

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2 years ago

MAFS.5.NF.2.5a

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3 years ago

Determine the roots of f(x) = -12-2.1x+18x^2-2.75x^3 graphically. in addition, determine the first root of the function with

vesna_86 [32]

The given function is that is a cubic polynomial

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when arranged in descending order that is from highest degree to lowest degree

$f(x)=-2.75x^3+18x^2-2.1x-12$

Since it is a three degree polynomial it has three roots.

According to rational root theorem , the possible roots of the above expression that is factors of $\frac{12}{2.75}$ = $\frac{48}{11}$ are $\pm1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 8, \pm 12, \pm 24, \pm 48, \pm\frac{1}{11}, \pm\frac{2}{11}, \pm\frac{3}{11}\pm\frac{4}{11}\pm\frac{6}{11},\pm\frac{8}{11},\pm\frac{12}{11}, \pm\frac{24}{11},\pm\frac{48}{11}$

As you can see from the graph all roots of this polynomial are real.

The smallest positive root is 0.954 and smallest negative root are -0.724.

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2 years ago

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Answer:

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1 year ago