express your answear in simplest a+bi form

express your answear in simplest a+bi form

                        5x^2-8x+5=0
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1 Answer

5x^2-8x+5=0

x^2-8x/5=-1 (dividing through by 5)

x^2-8x/5+(4/5)^2=-1+(4/5)^2 (completing the square and balancing the equation)

(x-4/5)^2=-9/25

x-4/5=+sqrt(-9/25)=+3i/5

x=4/5+3i/5 or 4/5-3i/5 is in a+ib form where (a,b)=(4/5,3/5) or (4/5,-3/5).

 

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