Question

$3x^{2}$ + 12 = 12x Find the value of x

Answer 1

Answer:

x=2

Step-by-step explanation:

3x²+12=12x

⇒3x²-12x+12=0

⇒x²-4x+4=0

⇒x²-2x-2x+4=0

⇒x(x-2)-2(x-2)=0

⇒(x-2)(x-2)=0

x=2 or x=2

Answer 2

Answer: x = 12

Step-by-step explanation:

Given Equation: 3x² + 12 = 12x

Shifting 12x to the left hand side and it becomes -12x.

So New Equation: 3x² - 12x + 12 = 0 (Eqn in standard form ax² + bx + c = 0)

Now, Solving using Splitting the middle term method.

3x² - 12x + 12 = 0

3x²- 6x - 6x + 12 = 0

3x (x - 2) -6 ( x - 2) = 0

(x - 2) (3x - 6) = 0

x - 2 = 0 ⇒ x = 2

3x - 6 = - ⇒ x = 2

∴ Value of x is 2.