If x-2/3= 1.6, find the value of x^2 + (4/x^2)
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2
Answer:
It is given that,
x=1/(4−x)
So,
x
3
+1/x
3
=(x+1/x)
2
−3(x+1/x)..(i)
For x+1/x we have:
x(4−x)=1
4x−x
2
=1
Now let us divide both sides by x, we get
4−x=1/x
4=1/x+x
1/x+x=4
x+1/x=4
By substituting the values in (i), we get
=(4)
3
−3(4)
=64−12
=52
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