AM-313

Quadratic models

A Math · Secondary 3 · Hard · Quadratic models

The quadratic equation

3x^2-4kx+5=0

has roots

\alpha

and

\beta

. Given that

\alpha^2+\beta^2=10

, find the value of

k

.

$k=\pm\dfrac{\sqrt{30}}{2}$
$k=\pm\sqrt{30}$
$k=\dfrac{\sqrt{30}}{4}$
$k=\pm\dfrac{\sqrt{15}}{2}$

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