AM-1034

Line meeting a curve

A Math · Secondary 4 · Medium · Line meeting a curve

The line

y = 2x-1

intersects the curve

y = \dfrac{18}{x-1}

at points

P

and

Q

. Find the x-coordinates of

P

and

Q

.

$x = \dfrac{3\pm\sqrt{145}}{4}$
$x = \dfrac{-3\pm\sqrt{145}}{4}$
$x = \dfrac{3\pm\sqrt{73}}{4}$
$x = \dfrac{-3\pm\sqrt{73}}{4}$

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