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Chapter 9: Q. 131 (page 898)

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

8x2-6x+2=0

Short Answer

Expert verified

The solutions of the given equation are x=38卤78i.

Step by step solution

01

Step 1. Given information.

The given equation is:

8x2-6x+2=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=8,b=-6,c=2. Substitute these values in Quadratic Formula.

x=-(-6)卤(-6)2-4(8)(2)2(8)

03

Step 3. Simplify the value.

On simplification, we get

x=6卤36-6416x=6卤-2816x=616卤-2816x=38卤2-716x=38卤78i[鈭�-1=i]

04

Step 4. Conclusion.

The solutions of the given equation are x=38卤78i.

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