3x^2+2root5x-5=0
Completing the square method
I am supposed to get answer as root 5/3

x = ±

Step-by-step explanation:

Given

3x² + 2 x - 5 = 0 ( add 5 to both sides )

3x² + 2 x = 5

Before completing the square we require the coefficient of the x² term to be 1

Factor out 3 from each term on the left side

3(x² + x ) = 5

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² + x

3(x² + 2( )x + - ) = 5

3(x + )² + ( 3 × - ) = 5

3(x + )² - = 5 ( add to both sides )

3(x + )² = ( divide both sides by 3 )

(x + )² = ( take the square root of both sides )

x + = ± = ± ( subtract from both sides )

x = - ±

Thus

x = - - = -

x = - + =