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Reducing Equations to Simpler Form

Solve: x-2x+...

Question

Solve: $(x - 2) (x + 1) = (x - 1) (x + 3)$

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Solution

$x^{2} + x - 2 x - 2 = x^{2} + 3 x - x - 3$
$⟹ x^{2} - x - 2 = x^{2} + 2 x - 3$
$⟹ 3 - 2 = 2 x + x$
$⟹ 3 x = 1 ⟹ x = \frac{1}{3}$

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Similar questions

\frac{(x - 1) (x - 2) (x - 3)}{(x + 1) (x + 2) (x + 3)} > 1

Q. Solve the following inequality:

\frac{(x - 1) (x - 2) (x - 3)}{(x + 1) (x + 2) (x + 3)} > 1

\frac{1}{(x - 1) (x + 2)} + \frac{1}{(x - 2) (x - 3)} = \frac{2}{3}

\int \frac{3 x - 1}{(x - 1) (x - 2) (x - 3)}

Q. Solve for x :

\frac{1}{(x - 1) (x - 2)} + \frac{1}{(x - 2) (x - 3)}

\frac{2}{3}, x \neq 1, 2, 3

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Reducing Equations to Simpler Form

Standard VIII Mathematics

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