Question

$x^{2} = 27 - 10 \sqrt{2}$
Rapid va rog!!!!!! ​

Answer 1

${x}^{2} = 27 - 10 \sqrt{2}$

${x}^{2} - 27 = - 10 \sqrt{2}$

${x}^{2} - 27 + 10 \sqrt{2} = 0$

${x}^{2} + 10 \sqrt{2} - 27 = 0$

$x = \frac{0 ± \sqrt{ {0}^{2} - 4}(10 \sqrt{2 - 27)} }{2}$

$x = \frac{0 ± \sqrt{ { - 4}^{2} }(10 \sqrt{2} + 27 }{2}$

$x = \frac{0± \sqrt{108 - 40 \sqrt{2} } }{2}$

$x = \frac{0±(10 - 2 \sqrt{2} }{2}$

$x = 5 - \sqrt{2}$

$x = \sqrt{2 } - 5$

Sper ca ti-am fost de folos. Succes!!!!