AM-585

Discriminant and nature of roots

A Math · Secondary 3 · Hard · Discriminant and nature of roots

The line

y=3x-4

is a tangent to the curve

y=px^2+2x+p

. Find the value of

p

.

$\dfrac{-4+\sqrt{17}}{2}$
$\dfrac{-4-\sqrt{17}}{2}$
$\dfrac{-8+\sqrt{17}}{2}$
$\dfrac{-8-\sqrt{17}}{2}$

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