AM-2073

Quotient rule

A Math · Secondary 4 · Hard · Quotient rule

A curve has equation

y=\dfrac{3x+1}{x-2}

. The normal to the curve at point

R

is parallel to the line

y=\dfrac{1}{2}x-4

. Find the

x

-coordinate(s) of

R

.

$2\pm\sqrt{\dfrac{7}{2}}$
$2-\sqrt{\dfrac{7}{2}}$
$2+\sqrt{\dfrac{2}{7}}$
$2-\sqrt{\dfrac{2}{7}}$

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