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Find a Quadratic Equation with the Roots Of r1=12 and r2=1+2r _ { 1 } = 1 - \sqrt { 2 } \text { and } r _ { 2 } = 1 + \sqrt { 2 }

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Find a quadratic equation with the roots of r1=12 and r2=1+2r _ { 1 } = 1 - \sqrt { 2 } \text { and } r _ { 2 } = 1 + \sqrt { 2 } . Write the answer in the form ax2+bx+c=0a x ^ { 2 } + b x + c = 0 where a, b, and c are integers and a=1a = 1 .


Definitions:

Type I Error

The error that occurs when a true null hypothesis is incorrectly rejected.

Control Limits

The boundaries in a control chart that represent the acceptable range of variation in a process.

Standard Errors

The standard deviation of the sampling distribution of a statistic, commonly used in estimating the margin of error.

Operating Characteristic Curve

A graph that shows the capability of a test to distinguish between different states, such as defective and non-defective items.

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