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Byju's Answer
Standard VI
Mathematics
Introduction to Algebra
33. Find the ...
Question
33. Find the non zero real numbers that satisfies the equation in terms of XYZ
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Similar questions
Q.
Find all non-zero real numbers
x
,
y
,
z
which satisfy the system of equations:
(
x
2
+
x
y
+
y
2
)
(
y
2
+
y
z
+
z
2
)
(
z
2
+
z
x
+
x
2
)
=
x
y
z
,
(
x
4
+
x
2
y
2
+
y
4
)
(
y
4
+
y
2
z
2
+
z
4
)
(
z
4
+
z
2
x
2
+
x
4
)
=
x
3
y
3
z
3
.
Q.
Find the non-zero value of
x
which satisfies the equation
a
r
c
sin
x
=
a
r
c
cos
(
2
x
)
Q.
If x and y are non zero real numbers satisfying
x
y
(
x
2
−
y
2
)
=
x
2
+
y
2
, find the minimum value of
x
2
+
y
2
.
Q.
The non-real complex numbers satisfying the equation
z
3
+
2
z
2
+
3
z
+
2
=
0
are
Q.
Let
S
be the set of all non-zero real numbers
α
such that the quadratic equation
α
x
2
−
x
+
α
=
0
has two distinct real roots
x
1
and
x
2
satisfying the inequality
|
x
1
−
x
2
|
<
1.
Which of the following intervals is(are) subset(s) of S?
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