Ответ(ы) на вопрос:
Гость№433.
[latex]12 -x^{2} =11[/latex]
[latex]- x^{2} = 11-12[/latex]
[latex] x^{2} =1[/latex]
[latex] x_{1} =-1[/latex]
[latex] x_{2} =1[/latex]
№434.
[latex]18- x^{2} =14[/latex]
[latex]- x^{2} =14-18[/latex]
[latex] x^{2} =4[/latex]
[latex] x_{1} =-2[/latex]
[latex] x_{2} =2[/latex]
№435.
[latex] x^{2} +3=3-x[/latex]
[latex] x^{2} +x=3-3[/latex]
[latex] x^{2} +x=0[/latex]
[latex]x(x+1)=0[/latex]
[latex] x_{1}=0[/latex] или [latex]x+1=0[/latex]
[latex] x_{2} =-1[/latex]
№436.
[latex] x^{2} +2=x+2[/latex]
[latex] x^{2} -x=2-2[/latex]
[latex] x^{2} -x=0[/latex]
[latex]x(x-1)=0[/latex]
[latex] x_{1} =0[/latex] или [latex]x-1=0[/latex]
[latex] x_{2} =1[/latex]
№437.
[latex]5x+2=2-2 x^{2} [/latex]
[latex]2 x^{2} +5x=2-2[/latex]
[latex]2 x^{2} +5x = 0[/latex]
[latex]x(2x+5)=0[/latex]
[latex] x_{1} =0[/latex] или [latex]2x+5=0[/latex]
[latex]2x=-5[/latex]
[latex] x_{2} =-2,5[/latex]
№438.
[latex]2 x^{2} +3=3-7x[/latex]
[latex]2 x^{2} +7x=2-2[/latex]
[latex]2 x^{2} +7x = 0[/latex]
[latex]x(2x+7)=0[/latex]
[latex] x_{1} =0[/latex] или [latex]2x+7=0[/latex]
[latex]2x=-7[/latex]
[latex] x_{2} =-3,5[/latex]
№439.
[latex] x^{2} -6x=4x-25[/latex]
[latex] x^{2} -10x+25=0[/latex]
[latex]D= (-10)^{2} - 4 (1)(25)= 100-100 = 0[/latex]
[latex]x= \frac{10}{2} =5[/latex]
№440.
[latex] x^{2} +2x=16x-49[/latex]
[latex] x^{2} -14x+49=0[/latex]
[latex]D=(-14)^{2} -4(1)(49)= 196-196=0[/latex]
[latex]x= \frac{14}{2} =7[/latex]
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