The answer would b be d 8 I think
Answer:
x=5
Step-by-step explanation:
I just rounded up my answer but if this is not correct then it is a decimal of 4.7
Answer:
I think the number on top will be 3
Step-by-step explanation:
I guess method 1 means to deal with whole factors.
x + 5 = (x - 2)(x + 5)
for (x + 5) <> 0 we can divide both sides by this factor :
1 = x - 2
x = 3
for the second solution we deal with
x + 5 = 0
x = -5
so, for x = -5 and x = 3 both functions deliver the same output, and these are the intersection points.
method 2 : we multiply the expression out and solve it then
x + 5 = (x - 2)(x + 5)
x + 5 = x² + 5x - 2x - 10 = x² + 3x - 10
0 = x² + 2x - 15
the general solution to such a square equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -15
x = (-2 ± sqrt(2² - 4×1×-15))/(2×1) =
= (-2 ± sqrt(4 + 60))/2 = (-2 ± sqrt(64))/2 = (-2 ± 8)/2 =
= -1 ± 4
x1 = -1 + 4 = 3
x2 = -1 - 4 = -5
and you get the 2 solutions again. as expected, they are the same as with method 1, of course.
Answer:
x
∈
R
−
{
−
2
.
3
}
Explanation:
h
(
x
)
=
x
x
2
−
x
−
6
is defined for all Real values of
x
except those values for which
x
2
−
x
−
6
=
0
x
2
−
x
−
6
=
(
x
+
2
)
(
x
−
3
)
So if
x
=
−
2
or
x
=
3
XXXX
x
2
−
x
−
6
=
0
and
XXXX
h
(
x
)
is undefined