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Solving Linear Equations Using Transpose of Terms

Solve: x2 -...

Question

Solve: $x^{2} - 5 x + 4$

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Solution

$x^{2} - 5 x + 4$
$= x^{2} - 4 x - x + 4$
$= x (x - 4) - 1 (x - 4)$
$= (x - 4) (x - 1)$
$∴ x^{2} - 5 x + 4 = (x - 4) (x - 1)$

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