Solve this equation 4x²-16 = 0 by extracting the roots
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Answer:
4
x
2
−
16 fits the difference of squares property
a
2
−
b
2
, which can be factored as (
a
+
b
)
(
a
−
b
)
Here, we can take the square root of 4
x
2
, which is 2
x and we can take the square root of 16 which is ±
4
.
Thus, a
=
2
x and b
=
±
4
, so we have
(
2
x
+
4
)
(
2
x
−
4
)
=
0
We can factor a 2 out of both expressions to get
2
(
x
+
2
)
(
x
−
2
)
Setting the factors equal to zero, we get
x= ± 2
Hope this helps!
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