π (x+7)^2 π x^2=286 ⇒ [(x+7)^2 x^2]=28622× 7 ⇒ [x^2+49+14x x^2]=91 ⇒ 14x=42 ⇒ x=3 . ...

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Solving a Quadratic Equation by Completion of Squares Method

Π x+7 2 -Π x...

Question

$Π {(x + 7)}^{2} - Π x^{2} = 286$

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Solution

$π (x + 7)^{2} - π x^{2} = 286$
$\Rightarrow [(x + 7)^{2} - x^{2}] = \frac{286}{22} \times 7$
$\Rightarrow [x^{2} + 49 + 14 x - x^{2}] = 91$
$\Rightarrow 14 x = 42$
$\Rightarrow x = 3$ .

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