Question

$x {}^{2} - 37x + 27 = 0$
$x {}^{2} - 210x = 0$
$- y {}^{2} + y = 0$
$x {}^{2} + 41x - 371 = 0$
$y {}^{2} - 19 = 0$
$3x {}^{2} - 10 = 0$

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Answer 1

Решение:

~1

x²- 37x + 27 = 0

D = 1369 - 108 = 1261

$x = \frac{37±\sqrt{1261}}{2}$

~2

x² - 210x = 0

x(x - 210) = 0

$\left \{ {{y=210} \atop {x=0}} \right.$

~3

y(-y + 1) = 0

$\left \{ {{y=0} \atop {y=1}} \right.$

~4

x² + 41x - 371

D = 1681 + 1484 = 3165

$x = \frac{-41±\sqrt{3165}}{2}$

~5

y² - 19 = 0

y² = 19

y = ±√19

~6

3x² - 10 = 0

3x² = 10

$x^{2}  = \frac{10}{3}\\x = \sqrt{\frac{10}{3} }$