if x is equal to root 5 plus 3 upon 2 find x square plus 1 upon x square
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ANSWER : 7
X=(√5+3)/2
2X=√5+3
4X2=5+9+6√5
4X2=14+6√5
X2=(14+6√5)/4 ......... . . eq (1)
Now, 1/X2 =4/(14+6√5)
=2/(7+3√5)
=2(7-3√5)/(7+3√5)(7-3√5)
After rationalising , we get ,
=(14- 6√5)/4..........eq(2)
Now, X2+1/X2= eq(1)+eq(2)
=(14+6√5+14-6√5)/4
= 28/4
=7
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Step-by-step explanation:
वन अपॉन रूट 5 प्लस रूट 2 = ?
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