Question

find the roots by the method of completing the square 5 x² - 6 x- 2 =0​

Answer 1

Your answer is in the attachment below hope it will help you

Answer 2

5x^2-6x-2=0

(5x^2-6x)/5=2/5

x^2-2(3/5)(x)=2/5{add (3/5)^2 both side}

x^2-2(3/5)(x)+(3/5)^2=2/5+9/25

(x-3/5)^2=19/25

x-3/5=(√19)/5

x=(3+√19)/5 & x=(3-√19)/5

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