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Kruka [31]
3 years ago
6

Which two values of x are roots of the polynomial below 4x^2-6x+1

Mathematics
1 answer:
marysya [2.9K]3 years ago
7 0
\large\begin{array}{I} \mathtt{ Use~ the~formula,~ x= \dfrac{-b \pm \sqrt{b^2-4ac}}{2a} } \end{array}

\large\begin{array}{I} \mathtt{ x= \dfrac{6 \pm \sqrt{(-6)^2-4 \times 4 \times 1}}{2 \times 4}= \dfrac{3+ \sqrt5}{4},~\dfrac{3- \sqrt5}{4} } \end{array}
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b) (1174,  1338)

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Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 1256

Standard Deviation, σ = 41

Empirical Rule:

  • Also known as 68-95-99.7 rule.
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a) range of years centered about the mean in which about 68% of the data lies

\mu \pm 1(\sigma)\\=1256 \pm 41\\=(1215, 1297)

68% of data will be found between 1215 years and 1297 years.

b) range of years centered about the mean in which about 95% of the data lies

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c) range of years centered about the mean in which about all of the data lies

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All of data will be found between 1133 years and 1379 years.

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