JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Analyzing +4 | -1

The number of roots of the equation

\frac{1}{x}+\frac{1}{\sqrt{\left(1-x^2\right)}}=\frac{35}{12}

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Correct option: D

Option D (3) is correct because the equation has three roots, found by substitution and solving the resulting equations.

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{x^{2n}} - 1 = 0

x^7+14 x^5+16 x^3+30 x-560=0

x_1, x_2, x_3, \ldots, x_n

x^n+a x+b=0

\left(x_1-x_2\right)\left(x_1-x_3\right)\left(x_1-x_4\right) \ldots\left(x_1-x_n\right)

P(x)=k x^3+3 x^2-3

Q(x)=2 x^3-5 x+k

(x-4)

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{\left( {x - 1} \right)^3}

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x^4-y^4=3789108