Question

solve by the method of completing the square 9 x square - 15 X + 6 is equal to zero

Answer 1

9 x^2 - 15x + 6 = 0

9 x^2 - 9x - 6x + 6 = 0

9x ( x - 1 ) - 6 ( x -1 ) = 0

(9x - 6 ) ( x - 1) =0

(x - 1 ) =0

x = 1

(9x - 6 ) =0

x = 6 / 9 = 2 /3

Answer 2

9x^2/9-15x/9+6/9

X^2 - 5x/3 +2/3

X^2-5x/3 +2/3+(5/6)^2 -(5/6)^2=0
×^2 -5x/3 +(5/6)^2 = -2/3 + (5/6)^2=0

(×-5/6)^2 = -2/6 + 25/36

(×-5/6)^2 = 1/36

×-5/6 = +_ 1/6 x-5/6=-1/6

X=2/3

×-5/6= +1/6

X=1