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Surds and Indices Practice Test 2
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© examsnet.com
Question : 14
Total: 17
Given that
a
x
=
b
y
=
c
z
and
b
2
=
a
c
, then find the value of y
2
x
z
x
+
z
x
z
2
(
z
−
x
)
x
z
2
(
x
−
z
)
x
z
x
+
2
Validate
Solution:
Let
a
x
=
b
y
=
c
z
=
k
,
then
a
=
k
1
x
;
b
=
k
1
y
;
c
=
k
1
z
Now,
b
2
=
a
c
⇒
(
k
1
y
)
2
=
k
1
x
×
k
1
z
⇒
k
2
y
=
k
1
x
+
1
z
⇒
2
y
=
1
x
+
1
z
⇒
y
=
2
x
z
x
+
z
© examsnet.com
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