Question

Solve the following Quadratic Equation by Formula method. 9 2 ⎯ 12 + 2 = 0

Answer 1

9y^{2} - 12y + 2 = 0

Divide equation by 9.

y^{2} - 4/3y + 2/9 = 0

y^{2} - 4/3y = -2/9

y^{2} - 4/3y + (2/3)^{2} = -2/9 + (2/3)^{2}

(y - 2/3)^{2} = -2/9 + 4/9

(y - 2/3)^{2} = 2/9

y - 2/3 = + √2/9

y = 2/3 + √2/9