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Reducing Equations to Simpler Form

x2 + 3x + 1 =...

Question

$x^{2} + 3 x + 1 = (x - 2)^{2}$
Solve the above equations

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Solution

$x^{2} + 3 x + 1 = (x - 2)^{2}$

$\Rightarrow$ $x^{2} + 3 x + 1 = x^{2} + 4 - 4 x$

$\Rightarrow$ $3 x + 1 = 4 - 4 x$

$\Rightarrow$ $7 x = 3$

$\Rightarrow$ $x = \frac{3}{7}$

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Reducing Equations to Simpler Form

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