3) For x =1. find the value of
x².5x+5
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10th
Maths
Quadratic Equations
Solutions of Quadratic Equations
If x^2 - 5x + 1 = 0 , then ...
MATHS
If x
2
−5x+1=0, then
x
5
x
10
+1
has the value
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ANSWER
x
2
−5x+1=0
∴x
2
+1=5x
∴x+
x
1
=5
∴x
2
+
x
2
1
=25−2=23
∴x
3
+
x
3
1
=(x+
x
1
)
3
−3(x+
x
1
)
∴x
3
+
x
3
1
=125−15
∴x
3
+
x
3
1
=110
Now (x
3
+
x
2
1
)(x
3
+
x
3
1
)=56×23
∴x
5
+x+
x
1
+
x
5
1
=110×23
∴x
5
+
x
5
1
=2530−5
∴x
5
+
x
5
1
=2525
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Answered by
0
Answer:
10
explanation -
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