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Chapter 9: Q. 144 (page 898)

In the following exercises, solve by using the Quadratic Formula.

16y2+8y+1=0

Short Answer

Expert verified

The solution of the given equation is y=-14.

Step by step solution

01

Step 1. Given information.

The given equation is:

16y2+8y+1=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=8,c=1. Substitute these values in Quadratic Formula.

y=-8卤(8)2-4(16)(1)2(16)

03

Step 3. Simplify the value.

On simplification, we get

y=-8卤64-6432y=-8卤032y=-832y=-14

04

Step 4. Conclusion.

The solution of the given equation is y=-14.

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