AM-1253

Line meeting a curve

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

The line

y-1=3(x+2)

intersects the curve

y=x^2-4x+1

at two points

A

and

B

. What is the

x

-coordinate of

A

?

$\dfrac{7-\sqrt{73}}{2}$
$\dfrac{7+\sqrt{73}}{2}$
$\dfrac{-7+\sqrt{73}}{2}$
$\dfrac{-7-\sqrt{73}}{2}$

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