Question

solve the equation by completing the square method 3 x square - 5 x + 2 is equal to zero​

Answer 1

3x² -5x +2 =0

Now divide the x² coefficient throughout,

⇒x²- 5x/3+2/3=0

Divide the coefficient of x by 2, and square it and add it and subtract it in the equation,

⇒x²-5x/3+2/3+25/36 -25/36 =0

⇒x²-5x/3+25/36 =1/36

⇒(x-5/6)²=(1/6)²

⇒x-5/6=plus or minus 1/6

x-5/6=1/6      (or) x-5/6= -1/6 ⇒x= -1/6+5/6⇒x=4/6 ⇒x=2/3.

x=1.

x=1(or)2/3.