Question

Решите неполное квадратное уравнение

Answer 1

$11)4x^{2}-9=0\\\\4x^{2}=9\\\\x^{2}=\frac{9}{4} \\\\x_{1,2}=\pm \sqrt{\frac{9}{4} }=\pm \frac{3}{2}\\\\\boxed{x_{1}=1,5 \ ; \ x_{2}=-1,5}\\\\\\12)-x^{2}+3=0\\\\x^{2}=3\\\\x_{1,2}=\pm \sqrt{3}\\\\\boxed{x_{1}=\sqrt{3} \ ; \ x_{2} =-\sqrt{3} } \\\\\\13)6y^{2}+24=0\\\\y^{2} +4=0\\\\y^{2} =-4\\\\y\in \oslash$

корней нет

$14)6x^{2}-30=0\\\\x^{2}-5=0\\\\x^{2}=5\\\\x_{1,2}=\pm \sqrt{5} \\\\\boxed{x_{1}=\sqrt{5} \ , \ x_{2}=-\sqrt{5} }\\\\\\15)3x^{2}-6x=0\\\\x^{2} -2x=0\\\\x(x-2)=0\\\\\left[\begin{array}{ccc}x=0\\x-2=0\end{array}\right\\\\\\\left[\begin{array}{ccc}x_{1}=0 \\x_{2}=2 \end{array}\right$