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30)option 2
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32)If x=√6+√6+√6+∞, what is the value of x?
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If you mean sum of root 6 of root 6 of root 6…upto infinity, then:
in this answer I’m going to refer root as ‘A’.
x=A6+A6+A6+…..infinity
x^2=6+A6+A6+A6+….infinity ; x^2=6(A6+A6+A6+….infinity)
x^2=6+x
x^2-x-6=0
now by facorizing this quadratic equation, we get:
(x-3)(x+2)=0
now this means that x=3 and x=-2.
but since the original equation has root, hence the x can’t be negative.
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