'sample 8: Find the roots of the equation 5x2 - 6x - 2 = 0 by the meth

1.	'sample 8: Find the roots of the equation 5x2 - 6x - 2 = 0 by the method of completingthe square.. 1.bbhala
Answer» 5x^2 - 6x - 2 = 0 x^2 - (6/5)x - (2/5) = 0 (x)^2 - [2.(3/5).x] + (3/5)^2 - (3/5)^2 - (2/5) = 0 [x - (3/5)]^2 = (2/5) + (9/25) [x - (3/5)]^2 = (19/25) x - (3/5) = √19/5 x = (3/5) ± √19/5 Roots of the equation are x = [3 + (√19)]/5 & x = [3 - (√19)]/5

'sample 8: Find the roots of the equation 5x2 - 6x - 2 = 0 by the method of completingthe square.. 1.bbhala

Answer»

5x^2 - 6x - 2 = 0

x^2 - (6/5)x - (2/5) = 0

(x)^2 - [2.(3/5).x] + (3/5)^2 - (3/5)^2 - (2/5) = 0

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

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

x - (3/5) = √19/5

x = (3/5) ± √19/5

Roots of the equation are

x = [3 + (√19)]/5 & x = [3 - (√19)]/5