SOLUTION: Solve by completing the square. Show your work. 29. 2x2 - 6x + 1 = 0 30. -x2 - 8x + 5 = 0 31. 9x2 - 18x - 1 = 0 32. -4x2 + 8x - 3 = 0

Algebra ->  College  -> Linear Algebra -> SOLUTION: Solve by completing the square. Show your work. 29. 2x2 - 6x + 1 = 0 30. -x2 - 8x + 5 = 0 31. 9x2 - 18x - 1 = 0 32. -4x2 + 8x - 3 = 0      Log On


   

Question 177855: Solve by completing the square. Show your work.

29. 2x2 - 6x + 1 = 0
30. -x2 - 8x + 5 = 0
31. 9x2 - 18x - 1 = 0
32. -4x2 + 8x - 3 = 0
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
-4x2 + 8x - 3 = 0
x^2-2x+(3/4)=0 divide each side by -4
x^2-2x =-.75 subtract 3/4 from each side to get rid of the 3rd term on the left so you can complete the square in the next step.
x^2-2x+1=1-.75 Complete the square by dividing the middle term by 2 and squaring it and making the result the 3rd term.
(x-1)^2=1/4
x-1=+-(1/2) take square root of each side.
x=1+.5, x=1-.5
x=1.5, x=.5
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Now you know how to do the others.
.
Ed