Find the number of non-negative integer solutions of the
equation x + x2 + xz =11.
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1
Answer:
Here is your answer
Step-by-step explanation:
x+x2+xz=11
3x+xz=11
5x=11
x=11/5
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The number of positive integral solutions of the equation x
1
+x
2
+x
3
+....+x
r
=n is
n−1
C
r−1
. ⋅ The number of non-negative integral solutions of the equation x
1
+x
2
+x
3
+....+x
r
=n is
n+r−1
C
r−1
.
Required number of non-negative integral solution is =
10+3−1
C
3−1
=
12
C
2
1
+x
2
+x
3
+....+x
r
=n is
n−1
C
r−1
. ⋅ The number of non-negative integral solutions of the equation x
1
+x
2
+x
3
+....+x
r
=n is
n+r−1
C
r−1
.
Required number of non-negative integral solution is =
10+3−1
C
3−1
=
12
C
2
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