Question #82350

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Question #82350

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Answer 1 · 2017-09-10T06:48:47

$4$ $4$

Explanation:

$to complete the square$ $"to "color(blue)"complete the square"$

$∙ x add {(\frac{1}{2} coefficient of x-term)}^{2} to both sides$ $•color(white)(x)"add "(1/2" coefficient of x-term")^2" to both sides"$

$that is add {(\frac{4}{2})}^{2} = 4$ $"that is add "(4/2)^2=4$

$\Rightarrow x^{2} + 2 (2 x) + 4 = 13 + 4$ $rArrx^2+2(2x)color(red)(+4)=13color(red)(+4)$

$\Rightarrow {(x + 2)}^{2} = 17$ $rArr(x+2)^2=17$

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Question #82350

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