Solve by Factoring x^(2/3)-7x^(1/3)+10=0
x
2
3
−
7
x
1
3
+
10
=
0
x
2
3
-
7
x
1
3
+
10
=
0
Rewrite
x
2
3
x
2
3
as
(
x
1
3
)
2
(
x
1
3
)
2
.
(
x
1
3
)
2
−
7
x
1
3
+
10
=
0
(
x
1
3
)
2
-
7
x
1
3
+
10
=
0
Let
u
=
x
1
3
u
=
x
1
3
. Substitute
u
u
for all occurrences of
x
1
3
x
1
3
.
u
2
−
7
u
+
10
=
0
Answer:
y = 1.5
Step-by-step explanation:
Given x is inversely proportional to
, then the equation relating them is
y =
← k is the constant of proportion
To find k use the condition when x = 8, y = 2
2 =
=
=
( multiply both sides by 3 )
6 = k
y =
← equation of proportion
When x = 15 , then
y =
=
=
=
= 1.5
Answer: it is A /////////////////////////////////////////////////////