Trang chủ » Hỏi đáp » Môn Toán d) 2x-1/3 – x+3/5 = x-1/2 e) 2x^2 +3=-5x 04/10/2023 d) 2x-1/3 – x+3/5 = x-1/2 e) 2x^2 +3=-5x
Giải đáp: d) (=) (2x-1).10/3.10-6.(x+3)/5.6=(x-1).15/2.15 (=) 20x-10/30-6x-18/30=15x-15/30 (=) 20x-10-6x-18=15x-15 (=) 20x-6x-15x=-15+10+15 (=) -x=13 (=) x=-13 e) (=) 2x^2+5x+3=0 (=) 2x^2+2x+3x+3=0 (=) (2x^2+2x)+(3x+3)=0 (=) 2x(x+1)+3(x+1)=0 (=) (x+1)(2x+3)=0 th1;x+1=0 hoặc th2: 2x+3=0 (=)x=-1 (=) 2x=-3 (=)x=-3/2 Lời giải và giải thích chi tiết: Trả lời
d) (2x-1)/3 -( x+3)/5 = (x-1)/2 <=>(10.(2x-1))/(3.10)-(6.(x+3))/(5.6)=(15.(x-2))/(2.15) <=>(20x-10)/30-(6x+18)/30=(15x-30)/30 <=>(20x-10)-(6x+18)=15x-30 <=>20x-6x-15x=10+18-30 <=>-x=-2 <=>x=2 Vậy S={2} ______________________________________________ e) 2x^2 +3=-5x <=>2x^2+5x+3=0 <=>2x^2+2x+3x+3=0 <=>(2x^2+2x)+(3x+3)=0 <=>2x.(x+1)+3.(x+1)=0 <=>(x+1).(2x+3)=0 <=>$\left[\begin{matrix} x+1=0\\ 2x+3=0\end{matrix}\right.$ <=>$\left[\begin{matrix} x=-1\\ x=-3/2\end{matrix}\right.$ Vậy S={-1;-3/2} color{skyblue}{Cow} Trả lời
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