x² - 4x + 4 =0 find discriminant.
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Answer:
The solution is
x
=
−
b
±
√
b
2
−
4
a
c
2
a
The discriminant
Δ
is
b
2
−
4
a
c
.
The discriminant "discriminates" the nature of the roots.
There are three possibilities.
If
Δ
>
0
, there are two separate real roots.
If
Δ
=
0
, there are two identical real roots.
If
Δ
<
0
, there are no real roots, but there are two complex roots.
Your equation is
x
2
−
4
x
+
4
=
0
Δ
=
b
2
–
4
a
c
=
(
−
4
)
2
−
4
×
1
×
4
=
16
−
16
=
0
This tells you that there are two identical real roots.
We can see this if we solve the equation by factoring.
x2−4x+4=0
(x−2)(x−2)=0
x−2=0 or x−2
=0x=2 or x=2
There are two identical real roots to the equation.
Step-by-step explanation:
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