SOLUTION: Solve the equation by completing the square, giving your solutions exactly in surd form 2x^2 - 10x + 5 = 0 i got so far but seem to be mucking up somewhere 2(x^2

SOLUTION: Solve the equation by completing the square, giving your solutions exactly in surd form 2x^2 - 10x + 5 = 0 i got so far but seem to be mucking up somewhere 2(x^2 - 5x + 5/

Question 99385This question is from textbook
: Solve the equation by completing the square, giving your solutions exactly in surd form
2x^2 - 10x + 5 = 0
i got so far but seem to be mucking up somewhere
2(x^2 - 5x + 5/2) = 0
(x^2 - 5/2)^2 = x^2 - 5x + 25/4
but now i'm stuck please could you help
regards, nat x This question is from textbook

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
first, using multiplication or division, set the coefficient of the squared term to 1

2x^2-10x+5=0 ... dividing by 2 gives x^2-5x+(5/2)=0

next, using addition or subtraction, set the constant term to 0

x^2-5x+(5/2)=0 ... subtracting 5/2 gives x^2-5x=-5/2

next, take 1/2 of the coefficient of the first order term, square it, and add (to BOTH sides)

(-5/2)^2=25/4 ... x^2-5x+(25/4)=15/4

take the square root (positive AND negative) ... x-(5/2)=(sqrt(15))/2 and x-(5/2)=-(sqrt(15))/2

so
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