Question

Rewrite the function by completing the square. f ( x ) = 4 x 2 + 1 2 x + 9

Answer 1

Answer:

$4(x+\frac{3}{2})^2+0$

To solve $ax^2+bx+c=0$ by completing the square:

     1.  Transform the equation so that the constant term, c , is alone on the right side.

     2.  If a, the leading coefficient (the coefficient of the $x^2$ term), is not equal to 1, divide both sides by a.

     3.  Add the square of half the coefficient of the x-term, $(\frac{b}{2a})^2$ to both sides of the equation.

     4.  Factor the left side as the square of a binomial.

     5.  Take the square root of both sides.  (Remember: $(x+q)^2$=r is equivalent to $x+q=+-\sqrt{r}$)

Hope this helps and have a great day!!

Answer 2

Answer:

x= 1.5

Step-by-step explanation:

4x2+12x+9=0

÷4   ÷4    ÷4    

Divide by 4  

4(x2+3x+2.25)=0

Factor

  (x+1.5)(x+1.5)

x+1.5=0

x=-1.5