For what value of $$\(a> 0\)$$ is an equilateral triangle formed by the $$\(x\)$$-intercepts and the vertex of the graph of $$\(y=a\left|x^{2}-4 x-21\right| ?\)$$

A.
\(\frac{\sqrt{3}}{4}\)
B.
\(\frac{1}{2}\)
C.
\(\frac{\sqrt{3}}{5}\)
D.
1
Mathematics
Competition
Math League
Exam No:2016 First Round Grades 10-12 Year:2016 Question No:29

Answer:

C

Knowledge points:

G10-12 - Algebra - Absolute Value (Equations, Inequalities & Graphs)

Solution:

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