Solve the following problem for the roots by completing the square. 3x2 -12x = 9

x = 2 ±√7        

Step-by-step explanation:

Given in the question an expression,

3x² -12x = 9

Let's assume that the expression can be factored as the perfect square (x+a)²

This expression is expanded as x²+2ax+a²

divide by 3

3x²/3 -12x/3 = 9/3

x² - 4x = 3

Add completing the square

2ax = -4x

a = -2

a² = 4

x² - 4x +4= 3+4

x² - 4x + 4 = 7

(x-2)² = 7

(x-2)² = 7

√(x-2)² = √7

x-2 = √7

x = 2 ±√7        

5+2x=a

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