Find the Values of A, B, and C for Which $a x ^ { 2 } + b x + c = 0$

question 425

Multiple Choice

Find the values of a, b, and c for which the quadratic equation $a x ^ { 2 } + b x + c = 0$ 0 has the given numbers as solutions. Then
use those values to write a quadratic equation.
-8,5

• A) \(x ^ { 2 } + 40 x + 13 = 0\)
• B) \(x ^ { 2 } + 13 x + 40 = 0\)
• C) \(x ^ { 2 } + 40 x - 13 = 0\)
• D) \(x ^ { 2 } - 13 x + 40 = 0\)

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Definitions:

Research Hypothesis

An educated guess or prediction made for the purpose of testing through scientific research, stating a potential outcome or relationship.

Critical Values

Thresholds in hypothesis testing which, if exceeded by the test statistic, indicate that the null hypothesis can be rejected.

Standard Deviation

A metric that quantifies how spread out a dataset is in comparison to its average value.

Standard Error

The standard deviation of the sampling distribution of a statistic, often used to calculate confidence intervals or test hypotheses.