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Solving a Quadratic Equation by Completion of Squares Method

Solve: 2p - 1...

Question

Solve:
(2p - 1) = 5 -( 3p - 2)

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Solution

$2 p - 1 = 5 - (3 p - 2)$
$\Rightarrow 2 p - 1 = 5 - 3 p + 2$
$\Rightarrow 2 p + 3 p = 7 + 1$
$\Rightarrow 5 p = 8$
$∴ p = \frac{8}{5}$

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