Question

9y^2-12y+2=0solveby completing method

Answer 1

Hey Mate ✌

Here's your answer friend,

By completing the square method ⏩

==> 9y² - 12y + 2= 0

==> Divide the whole equation by 9 (coefficient of x2)

we get,

==> y² - 4y/3 + 2/9

==> y² -4y/3 = -2/9

Now third term ==> (1/2 X coefficient of x )²

==> (1/2 X -4/3)²

==> (-2/3)²

Now adding third term to both LHS and RHS

we get,

y² - 4y/3 + (-2/3)² = -2/9 + (-2/3)²

==> (y - 2/3)² = -2/9 + 4/9

.............{by using the identity a² -2ab + b² = (a + b)²}

==> (y - 2/3)² = 2/9

==> Now taking square root on both the sides

we get,

==> √(y - 2/3)² = √2/√9

==> y - 2/3 = √2/3

==> y = √2 + 2 / 3

is the required answer.

⭐ Hope it helps you ^_^ ⭐