16xsquare-8kx-4k factorise
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Answer:
here ya go
Step-by-step explanation:
Consider the equation
0
=
x
2
+
4
x
+
4
. We can solve this by factoring as a perfect square trinomial, so
0
=
(
x
+
2
)
2
→
x
=
−
2
and
−
2
. Hence, there will be two identical solutions.
The discriminant of the quadratic equation (
b
2
−
4
a
c
) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have
2
equal, or
1
distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:
k
2
−
(
4
×
1
×
36
)
=
0
k
2
−
144
=
0
(
k
+
12
)
(
k
−
12
)
=
0
k
=
±
12
So, k can either be
12
or
−
12
.
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