Solve for x- 2x2-1x-6

#160; 2x^2 1x=6 ⇒2 xx^2=6 ⇒ 6x^2+x 2=0 ⇒ (2x 1)(3x+2)=0 ⇒ x= 23, 12 ...

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Multiplication of Rational Expressions

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Question

Solve for $x$ : $\frac{2}{x^{2}} - \frac{1}{x} = 6$

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Solution

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$\sqrt{x^{2} + x - 6} - x + 2 = \sqrt{x^{2} - 7 x + 10}, x ϵ R$

x : ∣ ∣ ∣ \frac{x^{2} + 6}{5 x} ∣ ∣ ∣ \geq 1

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\frac{| x^{2} - 4 |}{x^{2} + x - 2} > 1

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\frac{[x^{2} - (x + 1) (x + 2)]}{5 x + 1} = 6

66 x + 32

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