äš=0, 112Example 8: Find the roots of the equation 5x2-6x-2 0 by t

1.	äš=0, 112Example 8: Find the roots of the equation 5x2-6x-2 0 by the method of completingthe square.
Answer» Given equation5x^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 arex = [3+(√19)]/5, x = [3-(√19)]/5

äš=0, 112Example 8: Find the roots of the equation 5x2-6x-2 0 by the method of completingthe square.

Answer»

Given equation5x^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 arex = [3+(√19)]/5, x = [3-(√19)]/5