AM-514

Equations with surds

A Math · Secondary 3 · Hard · Equations with surds

Solve the equation

3x\sqrt{5}-\sqrt{45}=2x+6

, giving your answer in the form

a+b\sqrt{5}

, where

a

and

b

are rational numbers.

$\dfrac{69}{41}+\dfrac{24}{41}\sqrt5$
$\dfrac{69}{41}-\dfrac{24}{41}\sqrt5$
$\dfrac{24}{41}+\dfrac{69}{41}\sqrt5$
$\dfrac{21}{5}+\dfrac{6}{5}\sqrt5$

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