Use the method of completing the square to transform the quadratic equation into the equation form (x + p)^2 = q. 6+12x+3x^2=0

1 answer:

Mrac [35]3 years ago

3 0

Hello :
3x²+12x+6=0
3(x²+4x +2) =0
x²+4x+2 = 0
(x²+4x+4)-4+2 = 0
(x+2)² = 2
p=2 and q=2

You might be interested in

Free_Kalibri [48]

Hello russell6333!

$\huge \boxed{\mathfrak{Question} \downarrow}$

Solve for x.

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$1) \: \: \: 144 = 12x \\ \frac{144}{12} = x \\ \boxed{ \boxed{ \bf12 = x}}$

__________________

$2) \: \: \: 45 = 4x - 27 \\ 45 + 27 = 4x \\ 72 = 4x \\ \frac{72}{4} = x \\ \boxed{ \boxed { \bf18 = x }}$

__________________

$3) \: \: \: 2x - 2 = 14 \\ 2x = 14 - 2 \\ 2x = 12 \\ x = \frac{12}{2} \\ \boxed{ \boxed{ \bf \: x = 6}}$

__________________

$4) \: \: \: 12x = 44 - 10x \\ 12x + 10x = 44 \\ 22x = 44 \\ x = \frac{44}{22} \\ \boxed{\boxed{ \bf \: x = 2}}$

__________________

To solve questions of these sorts, bring all the terms to one side & simplify it leaving x alone in the other side of the equation (other side of the equal to sign). After simplification you'll get the value of x.
Remember that the signs & operations will change when you bring a term to the other side of the equation.
So, addition will become subtraction, subtraction will become addition, multiplication will become division & division will become multiplication.

__________________

Hope it'll help you!

ℓu¢αzz ッ

8 0

3 years ago

rodikova [14]

Solution: (3x + 4y - 3z) x (3x + 4y + 3z)

5 0

3 years ago