quadratic equation it has 2 answers . can someone give me step by step solutions?

Question

quadratic equation it has 2 answers

4x^2 - 16=0

Answer 1

4x^2 - 16 = 0
4(x^2 - 4) = 0
x^2 - 4 = 0
(x - 2)(x + 2) = 0

ANS : x = 2 or -2

Answer 2

4x^2 - 16=0

Take out 4 as a common factor:

4(x^2 - 4)=0

Divide both sides of the equation by 4:

(x^2 - 4)= 0

Factorise the above expression:

(x+2)(x-2) = 0

(x+2)= 0 or (x-2)= 0 [Since anything multiplied by 0 = 0)

Therefore x=2 or x=-2

Answer 3

There's a formula for factoring the difference of two perfect squares:

a^2 - b^2 = (a+b) (a-b)

In this case, a = 2x , b = 4

Therefore:

4x^2 - 16 = (2x+4) (2x-4) = 0

2x+4 = 0 or 2x-4 = 0

x = -2 or x = 2

Answer 4

yeah here...

4x^2-16=0
**factor into 2 parenthesis, difference of perfect square because 4 is a perfect square (2 and 2) and 16 is too (4 and 4)**

(2x + 4) (2x - 4)

figure out what x equals by making them equal to 0

2x+4=0 2x-4=0
-4 -4 +4 +4
2x= -4 2x=4
/2 /2 (divide by 2)/2 /2
x=-2 x=2


This from my math teacher so if is wrong blame her :-)

Answer 5

there is a formula: in your equation...A=4, B=0, C=(-16)
you start with the equation
it is negative b plus OR minus the square root of b minus 4XaXc all divided by 2Xa

start with -0 plus the square root of (0 - (4 x 4 x -16)) divided by 2 x 4
0 - the square root of 16x16 divided by 8
so 16 divided by 8 = 2

that is the first answer

the second one
- (0) MINUS the square root of (0 - (4 x 4 x -16)) divided by 4 x 2
so it is
the negative square root of 16 x 16 divided by 8
so it is -2

the answer are 2 or -2

Answer 6

Reduce first.
4x^2=16 then continue reducing
x^2=4

Answer:
x=2
x=-2

Answer 7

Sure:

To isolate the variable:

Add 16 to both sides.

Divide 4 on both sides.

Take the square root on both sides.

The square root will yield a positive and a negative value.