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Solve using the quadratic formula. 9q2 + 6q + 1 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. q = or q =

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The solution to the quadratic equation is given as follows: [tex]q = -\frac{1}{3}[/tex]

What is a quadratic function?

A quadratic function is given according to the following rule:

[tex]y = ax^2 + bx + c[/tex]

The solutions are:

- [tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex]

- [tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]

In which:

[tex]\Delta = b^2 - 4ac[/tex]

In this problem, the equation is:

9q² + 6q + 1.

The coefficients are a = 9,b = 6, c = 1, hence:

[tex]\Delta = 6^2 - 4(9)(1) = 0[/tex]

[tex]q_1 = \frac{-6 + \sqrt{0}}{2(9)} = -\frac{1}{3}[/tex]

[tex]q_2 = \frac{-6 - \sqrt{0}}{2(9)} = -\frac{1}{3}[/tex]

More can be learned about quadratic functions at  

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