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91Ó°ÊÓ

In the following exercises, solve by using the Quadratic Formula.
25q2+30q+9=0

Short Answer

Expert verified

The solution of the given equation is q=-35.

Step by step solution

01

Step 1. Given information.

The given equation is:

25q2+30q+9=0

02

Step 2. Substitute the values in Quadratic Formula.

Quadratic Formula for the equation ax2+bx+c=0is:

x=-b±b2-4ac2a

In the given equation, a=25,b=30,c=9. Substitute these values in Quadratic Formula.

q=-30±(30)2-4(25)(9)2(25)

03

Step 3. Simplify the value.

On simplification, we get

q=-30±900-90050q=-30±050q=-3050q=-35

04

Step 4. Conclusion.

The solution of the given equation is q=-35.

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