Question

3(x+2)square-124=200-(x+2)square,then x is

Answer 1

HERE IS YOUR ANSWER..⬇⬇

$\underline{SOLUTION}$ ➡

$3(x + 2) {}^{2} - 124 = 200 - (x + 2) {}^{2} \\ \\ = > 3(x {}^{2} + 4x + 4) - 124 = 200 - (x {}^{2} + 4x + 4) \\ \\ = > 3x {}^{2} + 12x + 12 - 124 = 200 - x {}^{2} - 4x - 4 \\ \\ = > 3x {}^{2} + 12x - 112 = - x {}^{2} - 4x + 196 \\ \\ = > 3x {}^{2} + x {}^{2} + 12x + 4x - 112 - 196 = 0 \\ \\ = > 4x {}^{2} + 16x - 308 = 0 \\ \\ = >4( x {}^{2} + 4x - 77) = 0 \\ \\ = > x {}^{2} + 4x - 77 = 0 \\ \\ = > x {}^{2} + (11 - 7)x - 77 = 0 \\ \\ = > x {}^{2} + 11x - 7x - 77 = 0 \\ \\ = > x(x + 11) - 7(x + 11) = 0 \\ \\ = > (x - 7)(x + 11) = 0$

$now ,\\ \\ x - 7 = 0 \\ \\ = > x = 7 \\ \\ \\ or ,\\ \\ \\ x + 11 = 0 \\ \\ = > x = - 11$

$\underline{ANSWER}$ ➡ $x = 7 \: ,\: - 11$

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