3x-15=3/x then find the value of x^2+1/x^2
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3x-15=3/x
Divide by 3 on both the sides
x-5 = 1/x
x-(1/x) = 5 ----eq.1
To find x^2 + (1/x)^2
Square eq.1 both side
{ x-(1/x)}^2 = 5^2
x^2 + (1/x)^2 -2 = 25
x^2 + (1/x)^2 = 25 +2
x^2 + (1/x)^2 = 27.
Divide by 3 on both the sides
x-5 = 1/x
x-(1/x) = 5 ----eq.1
To find x^2 + (1/x)^2
Square eq.1 both side
{ x-(1/x)}^2 = 5^2
x^2 + (1/x)^2 -2 = 25
x^2 + (1/x)^2 = 25 +2
x^2 + (1/x)^2 = 27.
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