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August 2022
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(5а^{2} +7а+2)/(3^{2}+а-2)
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rubilovalex
5a^2+7a+2=0; D=7^2-4*5*2=49-40=9; a1=(-7-3)/10 a2=(-7+3)/10. a1= -1, a2=-2/5. 5a^2+7a+2=5*(a-2/5)*(a+1)=(5a+2)*(a+1). 3a^2+a-2=0; D=1^2-4*3*(-2)=1+24=25; a1=(-1-5)/6, a1=(-1+5)/6. a1= -1, a2=2/3. 3a^2+a-2=3*(a-2/3)*(a+1)=(3a-2)*(a+1). получаем: (5a+2)*(a+1) / (3a-2)*(a+1)=(5a+2) / (3a-2).
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