Question

plz solve it and get the chance to help me ​

Answer 1

$x = \frac{11}{4 - \sqrt{5} } = \frac{11(4 + \sqrt{5}) }{16 - 5} \\ x= \frac{11(4 + \sqrt{5}) }{11} \\ x = 4 + \sqrt{5}$

${x}^{2} - 8x + 11 \\ = {(4 + \sqrt{5}) }^{2} - 8(4 + \sqrt{5} ) + 11 \\ = {4}^{2} + {( \sqrt{5}) }^{2} + 8 \sqrt{5} - 8 \sqrt{5} - 32 + 11 \\ = 16 + 5 - 32 + 11 \\ = 32 - 32 = 0$

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