Use the technique of completing the square to transform the quadratic equation into the form (x + c)2 = a. 4x2 - 32x + 16 = 0

Question

Use the technique of completing the square to transform the quadratic equation into the form (x + c)2 = a.   4x2 - 32x + 16 = 0

myininaya · Answer

First of all doesn't 4 divide 4,32,and 16

So we can factor out 4 and divide it on both sides since 4 doesn't =0

$$4(x^2-8x+4 )=0$$

$$\frac{4}{4} (x^2-8x+4)=\frac{0}{4}$$

$$x^2-8x+4=0$$

Now: Lets talk about completing the square....

$$x^2+bx+(\frac{b}{2})^2=(x+\frac{b}{2})^2$$


So if b=-8, then what is
$$(\frac{b}{2})^2 ?$$

anonymous · Answer

this is algebra your solving to find what c=

anonymous · Answer

4x^2-32x+16=0
taking 4 common
4(x^2-8x+4)=0
x^2-8x+4=0
x^2-8x+4^2=-4+4^2
(x-4)^2=12
x-4=squareroot12
x-4=+-2squareroot3
x-4=2squareroot3
x=2squareroot3+4
and
x=-2squareroot3-4 are the answer