Question

5) Solve by completing square method : 9x2 - 15x + 6 = 0​

Answer 1

Answer:

9x2-15x+6=0

9x2-9x-6x+6=0

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

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

X=2/3. X=1

Answer 2

$\Large{\textbf{\underline{\underline{According\;to\;the\;Question}}}}$

Here,

9x² - 15x + 6 = 0 ................. (1)

Dividing (1) by 9 we get,

x² - 15/9x + 6/9 = 0

x² - 5/3x + 2/3 = 0

x² - 5/3x = -2/3

Now,

Adding sq. of half of coefficient of x, we get

x² - 2(5/6)x + (5/6)² = (5/6)² - 2/3

(x - 5/6)² = 25/36 - 2/3

(x - 5/6)² = 25 - 24/36

(x - 5/6)² = 1/36

Squarring both sides :-

x - 5/6 = ±1/6

x = 5/6 + ±1/6

x = 5/6 + 1/6 = 1

Or,

5/6 - 1/6 = 4/6 = 2/3

x = 1, 2/3

Therefore,

Roots are 1 & 2/3