4. If x+1/x=6, find the value of x+1/x²
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Answer:
x+1/x² = 30
Step-by-step explanation:
Find the x value first
( x + 1 ) ÷ x = 6
x + 1 = 6 × x
x + 1 = 6x
1 = 6x - x
1 = 5x
x = 1 ÷ 5
x = 0.2
Substitue the value of x in the second equation
( x + 1 ) ÷ x²
= ( 0.2 + 1 ) ÷ 0.2²
= 1.2 ÷.0.04
= 30
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