Автор - RuzanaSadykova

Х 2 +7х+10=корень 72

Ответ

Автор - aastap7775

Ответ:

Объяснение:

x^2 + 7x + 10 = sqrt{72}\sqrt{72} = sqrt{36 * 2} = 6sqrt{2}\x^2 + 7x + 10 = 6sqrt{2}\x^2 + 7x + 10 - 6sqrt{2} = 0\D = 7^2 - 4(10 - 6sqrt{2}) = 49 - 40 + 24sqrt{2} = 9 + 24sqrt{2} = 3(3 + 8sqrt{2})\sqrt{D} = sqrt{9 + 24sqrt{2}}\x_1 = frac{-7 + sqrt{9 + 24sqrt{2}}}{2}\ x_2 = frac{-7 - sqrt{9 + 24sqrt{2}}}{2} \Answer:\x_1 = frac{-7 + sqrt{9 + 24sqrt{2}}}{2}\ x_2 = frac{-7 - sqrt{9 + 24sqrt{2}}}{2}

Ответ

Автор - MrSolution

Решение:

 {x}^{2}  + 7x + 10 =  sqrt{72}  \  {x}^{2}  + 7x + 10 - 6 sqrt{2}  = 0 \  sqrt{d}  =  sqrt{49 - 4(10 - 6 sqrt{2)} }  =  sqrt{9 + 24 sqrt{2} }  \ x =  frac{ - 7 +  sqrt{9 + 24 sqrt{2} } }{2}  \ x =  frac{ - 7 -  sqrt{9 + 24 sqrt{2} } }{2}

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