Question

ПОМОГИТЕ ПОЖАЛУЙСТА.......​

Answer 1

a)

$x(x-8)+2(x-8)=0\\\\(x-8)(x+2)=0\\\\x-8=0 \Rightarrow x_1=8\\\\x+2=0 \Rightarrow x_2=-2$

б)

$y(y-12)+y-12=0\\\\(y-12)(y+1)=0\\\\y-12=0 \Rightarrow y_1=12\\\\y+1=0 \Rightarrow y_2=-1$

в)

$a+4-a(a+4)=0\\\\(a+4)(1-a)=0\\\\a+4=0 \Rightarrow a_1=-4\\\\1-a=0 \Rightarrow a_2=1$

г)

$(x^2-5x)+x-5=0\\\\x(x-5)+x-5=0\\\\(x-5)(x+1)=0\\\\x-5=0 \Rightarrow x_1=5\\\\x+1=0 \Rightarrow x_2=-1$

д)

$(x^2+7x)-4x-28=0\\\\x(x+7)-4(x+7)=0\\\\(x+7)(x-4)=0\\\\x+7=0 \Rightarrow x_1=-7\\\\x-4=0 \Rightarrow x_2=4$

е)

$5x^2-10x+(x-2)=0\\\\5x(x-2)+(x-2)=0\\\\(x-2)(5x+1)=0\\\\x-2=0 \Rightarrow x_1=2\\\\5x+1=0 \Rightarrow x_2=-\dfrac{1}{5}$