Question

помогите пожалуйста ​

Answer 1

$\displaystyle\bf\\|x^{2} +8x|-11=0\\\\|x^{2} +8x|=11\\\\\\\left[\begin{array}{ccc}x^{2} +8x=-11\\x^{2} +8x=11\end{array}\right\\\\\\1)\\\\x^{2} +8x=-11\\\\x^{2} +8x+11=0\\\\D=8^{2} -4\cdot11=64-44=20=(2\sqrt{5})^{2} \\\\x_{1} =\frac{-8-2\sqrt{5} }{2} =-4-\sqrt{5} \\\\x_{2} =\frac{-8+2\sqrt{5} }{2} =\sqrt{5} -4\\\\2)\\\\x^{2} +8x=11\\\\x^{2} +8x-11=0\\\\D=8^{2} -4\cdot(-11)=64+44=108=(6\sqrt{3})^{2} \\\\x_{3} =\frac{-8-6\sqrt{3} }{2} =-4-3\sqrt{3} .$

$\displaystyle\bf\\x_{4} =\frac{-8+6\sqrt{3} }{2} =3\sqrt{3} -4$