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IDontKnow46
@IDontKnow46
August 2022
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Пожалуйста, помогите с заданиями:
1. Выполните действия: [tex]\sqrt{5}( \sqrt{10}+ \sqrt{5})- \frac{5}{2} \sqrt{8}[/tex]
2. Решите уравнение: [tex] \frac{6}{ x^{2} - 2x} - \frac{12}{ x^{2} + 2x} = \frac{1}{x} [/tex]
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panina2345
1)√5(√10+√5)-5/2·√8=√50+5-5/2·2√2=5√2+5-5√2=5;
2)6/x(x-2)-12/x(x+2)-1/x=0
6х+12-12х+24-х²+4/х(x-2)(x+2)=0
-6x+40-x²/х(x-2)(x+2)=0
-6x+40-x²=0
x²+6x-40=0
X1=-6-√196/2=0
X2=-6+√196/2=0
X1=-6-14/2=0
X2=-6+14/2=0
X1=-10
X2=4
2 votes
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Answers & Comments
2)6/x(x-2)-12/x(x+2)-1/x=0
6х+12-12х+24-х²+4/х(x-2)(x+2)=0
-6x+40-x²/х(x-2)(x+2)=0
-6x+40-x²=0
x²+6x-40=0
X1=-6-√196/2=0
X2=-6+√196/2=0
X1=-6-14/2=0
X2=-6+14/2=0
X1=-10
X2=4