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Differentiation of Inverse Trigonometric Functions

Solve for y: ...

Question

Solve for y:

$(32 - y) (y - 3) = 210$

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Solution

$(32 - y) (y - 3) = 210$

$\Rightarrow 32 y - 96 - y^{2} + 3 y = 210$

$\Rightarrow - y^{2} + 35 y - 306 = 0$

$\Rightarrow y^{2} - 35 y + 306 = 0$

$\Rightarrow y^{2} - 18 y - 17 y + 306 = 0$

$\Rightarrow (y - 18) (y - 17) = 0$

$y = 17, 18$

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