√ <span>х^2-10 = √ <span>-3х</span></span>
<span><span>ОДЗ - 3х >= 0 ; x =< 0</span></span>
<span><span>х^2-10 >= 0 ; х^2 >= 10 ; x =< -√10 U x >= √10</span></span>
<span><span>обе части в квадрат</span></span>
<span><span>х^2-10 = -3х</span></span>
<span><span>х^2 +3x -10 = 0</span></span>
<span><span>D = 9 - 4*1*(-10) =49 ; √ D = +/- 7</span></span>
<span><span>x = 1/2 (-3 +/- 7) </span></span>
<span><span>x1 = -5 входит в ОДЗ</span></span>
<span><span>x2 = 2 не входит в ОДЗ</span></span>
<span><span>проверяем корни</span></span>
<span><span>√ (-5)^2-10 = √ -3*(-5) ; √ 15 = √ 15 подходит x= -5</span></span>
<span><span>ответ - 5</span></span>