SOLUTION: if 3x^2-2x+7=0, then (x-1/3)^2= A. 20/9 B. 7/9 C. -7/9 D. -8/9 E. -20/9 (im studying for college)

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Question 1119035: if 3x^2-2x+7=0, then (x-1/3)^2=
A. 20/9
B. 7/9
C. -7/9
D. -8/9
E. -20/9
(im studying for college)

Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
The term to complete the square for the quadratic equation is .



-------continue to simplify the right side and you should have what was asked.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

if 3x^2-2x+7=0, then (x-1/3)^2=
A. 20/9
B. 7/9
C. -7/9
D. -8/9
E. -20/9
(im studying for college)

-------- Subtracting 7 from both sides
----- Dividing by 3 to make the leading coefficient, 1

------ Completing the square on x



(CHOICE E)
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
I only want to add that THERE IS NO real number x, satisfying the given equation and satisfying this equality 


 = .    (*)


It can be true for complex numbers ONLY.


How did I reveal it ?  - Look in this equality (*): the square of a number in the left side is equal to negative number in the right side.


There is nothing bad in it; you only need to understand it that there is no such real number.

----------------
Also,  on completing the square see the lesson
    - HOW TO complete the square - Learning by examples
in this site.


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