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Chapter 9: Q. 141 (page 898)

In the following exercises, solve by using the Quadratic Formula.
16c2+24c+9=0

Short Answer

Expert verified

The solution of the given equation is c=-34.

Step by step solution

01

Step 1. Given information

The given equation is:

16c2+24c+9=0

02

Step 2. Substitute the values in Quadratic Formula.

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

x=-b卤b2-4ac2a

In the given equation, a=16,b=24,c=9. Substitute these values in Quadratic Formula.

c=-24卤(24)2-4(16)(9)2(16)

03

Step 3. Simplify the value.

On simplification, we get

c=-24卤576-57632c=-24卤032c=-2432c=-34

04

Step 4. Conclusion.

The solution of the given equation is c=-34.

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