Solve for x - x 2-2 x - x -2-2A- 2B- 1C- -2D- None of these

The correct option is D None of thesex^2 2x/x 2=2 ⇒ x^2 2x = 2x 4 ⇒ x^2 4x+4=0 ⇒ (x 2)^2 =0 ⇒ x = 2 But x cannot be 2 because the denominator will be zero. ...

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Standard X

Mathematics

Addition of Rational Expressions

Solve for x ,...

Question

Solve for $x, \frac{x^{2} - 2 x}{x - 2} = 2$

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-2

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None of these

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Solution

The correct option is D
None of these

$\frac{x^{2} - 2 x}{x - 2} = 2$
$\Rightarrow x^{2} - 2 x = 2 x - 4$
$\Rightarrow x^{2} - 4 x + 4 = 0$
$\Rightarrow (x - 2)^{2} = 0$
$\Rightarrow x = 2$
But x cannot be 2 because the denominator will be zero.

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Solve for x,x2−2xx−2=2

The correct option is D None of thesex2−2xx−2=2 ⇒x2−2x=2x−4 ⇒x2−4x+4=0 ⇒(x−2)2=0 ⇒x=2 But x cannot be 2 because the denominator will be zero.

Solve for $x, \frac{x^{2} - 2 x}{x - 2} = 2$

The correct option is D
None of these

$\frac{x^{2} - 2 x}{x - 2} = 2$
$\Rightarrow x^{2} - 2 x = 2 x - 4$
$\Rightarrow x^{2} - 4 x + 4 = 0$
$\Rightarrow (x - 2)^{2} = 0$
$\Rightarrow x = 2$
But x cannot be 2 because the denominator will be zero.