Question

Find the root by the method of completing square:
$5 {x}^{2} - 6x - 2 = 0$

Answer 1

Answer:

Step-by-step explanation:

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

Answer 2

HLW BRO!
THE solution of YOUR QUESTION with completing square method is given below:
5X^2-6X-2=0
:DIVIDE it with 5
THEN,X^2-6X/5-2/5=0
adding 9/25 both side
:X^2-6X+9/25=2/5+9/25
:(X-3/5)^2=19/25
X-3/5=root 19/5
X=(3+root 19)/5 and (3-root19)/5
THANK U☺