The number of real solutions of the equation $(sin x - x) (cos x - x^{2}) = 0$ is

1

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2

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3

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4

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Solution

The correct option is C $3$
$sin x = x$ only $x = 0$ one solution
$cos x = x^{2}$ 2 solutions
$∴ 3$ solutions

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sin x = x^{2} + x + 1

The number of real solutions of the equation $x^{2} + 3 | x | + 2$ =0 is:

x^{\frac{2}{3}} + x^{\frac{1}{3}} - 2 = 0

(x cos x - sin x + y x^{2}) d x + x^{3} d y = 0

| x^{2} | - 3 | x | + 2 = 0

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