Question

Find the solution of the equation by completing rhe square method 9x^2-15x+6=0

Answer 1

ANSWER:

given equation

$9 {x}^{2} - 15x + 6 = 0$

REQUIRED TO FIND:

solve the equation through completing square method

METHOD:

in the attachment

IDENTITY USED:

(a+b)²=a²+b²-2ab

let us multiply the whole equation with 4

$36 {x}^{2} - 60x + 24 = 0$

$= > {(6x)}^{2} - 2 \times 6x \times 5 + 24 = 0$

here a=6x ,b =6

so let us add 5² and -5² so that we can convert the equation in the form of (a+b)²

Answer 2

Answer:

See the attachment....