Решите уравнения: а)x^2+6x+5=0 б)2x^2-5x+3=0 в)2x^2-7x-4=0. Created by KlintEastwood24. algebra-ru

Решите уравнения: а)x^2+6x+5=0 б)2x^2-5x+3=0 в)2x^2-7x-4=0...

бабаУля $x^2+6x+5=0\\
D=36-20=16; \sqrt{D} =4\\
x_{1/2}= \frac{-6\pm4}{2}\\\\
x_1= -\frac{10}{2}=-5\\\\
x_2=- \frac{2}{2}=-1\\\\\\
2x^2-5x+3=0\\
D=25-24=1; \sqrt{D} =1\\
x_{1/2}= \frac{5\pm1}{4}\\\\
x_1= \frac{4}{4} =1\\\\
x_2= \frac{6}{4} = \frac{3}{2}\\\\\\
2x^2-7x-4=0\\
D=49+32=81; \sqrt{D}=9\\
x_{1/2}= \frac{7\pm9}{4}\\\\
x_1=- \frac{2}{4}=- \frac{1}{2}\\\\
x_2= \frac{16}{4}=4$

litanalove A) D=36-20=16=4²
x1=(-6+4)/2= -1
x2=(-6-4)/2= -5

b) D=25-24=1
x1=(5+1)/4=6/4=3/2=1.5
x2=(5-1)/4=1

v) D=49+32=81=9²
x1=(7+9)/4=4
x2=(7-9)/4= -2/4=-1/2= -0.5

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