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Chapter 9: Q. 130 (page 898)

In the following exercises, solve by using the Quadratic Formula.
2x2-x+1=0

Short Answer

Expert verified

The solutions of the given equation are x=14卤74i.

Step by step solution

01

Step 1. Given information.

The given equation is:

2x2-x+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=2,b=-1,c=1. Substitute these values in Quadratic Formula.

x=-(-1)卤(-1)2-4(2)(1)2(2)

03

Step 3. Simplify the value.

On simplification, we get

x=1卤1-84x=1卤-74x=14卤-74x=14卤74i[鈭�-1=i]

04

Step 4. Conclusion.

The solutions of the given equation are x=14卤74i.

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