6x^2 13x5 = 0 30x^2 13x = 0 ⇒ x (30x 13) = 0 ∴ x=0 #160; or 30x 13 = 0 x=0 #160; or #160; 30x = 13 ⇒ #160; x = 1 ...

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Complex Numbers

Solve: 6 x 2...

Question

Solve: $6 x^{2} - \frac{13}{5} x = 0$

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Solution

$6 x^{2} - \frac{13 x}{5} = 0$

$30 x^{2} - 13 x = 0$

$\Rightarrow x (30 x - 13) = 0$

$∴ x = 0 o r 30 x - 13 = 0$

$x = 0 o r 30 x = 13 \Rightarrow x = \frac{13}{30}$

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