Find the roots of quadratic equation x^2+4x+4
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0
We can also use the discriminate to show this same result:
The quadratic formula states:
For
a
x
2
+
b
x
+
c
=
0
, the values of
x
which are the solutions to the equation are given by:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
The discriminate is the portion of the quadratic equation within the radical:
b
2
−
4
a
c
If the discriminate is:
- Positive, you will get two real solutions
- Zero you get just ONE solution
- Negative you get complex solutions
To find the discriminant for this problem substitute:
1
for
a
−
4
for
b
4
for
c
(
−
4
)
2
−
(
4
⋅
1
⋅
4
)
⇒
16
−
16
⇒
0
Because the discriminate is
0
you get just ONE solution.
Answered by
1
Step-by-step explanation:
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