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\(\begin{array}{l}a)\frac{x}{{ - 3}} = \frac{7}{{0,75}}\\ \Rightarrow x.0,75 = ( - 3).7\\ \Rightarrow x = \frac{{( - 3).7}}{{0,75}} = - 28\end{array}\)
Vậy x = 28
\(\begin{array}{l}b) - 0,52:x = \sqrt {1,96} :( - 1,5)\\ - 0,52:x = 1,4:( - 1,5)\\ x = \dfrac{(-0,52).(-1,5)}{1,4}\\x = \frac{39}{{70}}\end{array}\)
Vậy x = \(\frac{39}{{70}}\)
\(\begin{array}{l}c)x:\sqrt 5 = \sqrt 5 :x\\ \Leftrightarrow \frac{x}{{\sqrt 5 }} = \frac{{\sqrt 5 }}{x}\\ \Rightarrow x.x = \sqrt 5 .\sqrt 5 \\ \Leftrightarrow {x^2} = 5\\ \Leftrightarrow \left[ {_{x = - \sqrt 5 }^{x = \sqrt 5 }} \right.\end{array}\)
Vậy x \( \in \{ \sqrt 5 ; - \sqrt 5 \} \)
Chú ý:
Nếu \({x^2} = a(a > 0)\) thì x = \(\sqrt a \) hoặc x = -\(\sqrt a \)
a: \(\dfrac{x}{-3}=\dfrac{7}{0.75}=\dfrac{28}{3}\)
=>\(x=\dfrac{28\left(-3\right)}{3}=-28\)
b: \(-\dfrac{0.52}{x}=\dfrac{\sqrt{1.96}}{-1.5}=\dfrac{1.4}{-1.5}\)
=>\(x=0.52\cdot\dfrac{1.5}{1.4}=\dfrac{39}{70}\)
c: \(\dfrac{x}{\sqrt{5}}=\dfrac{\sqrt{5}}{x}\)
=>\(x^2=5\)
=>\(x=\pm\sqrt{5}\)
P = 81 , 624 : 4 , 8 - 4 , 505 2 + 125 . 0 , 75 0 , 44 2 : 0 , 88 + 3 , 53 2 : 0 , 52
Tử số: (81,624 : 4,8 – 4,505)2 + 125.0,75
= (17,005 – 4,505)2 + 93,75
= (12,5)2 + 93,75
= 156,25 + 93,75 = 250
Mẫu số: {[(0,44)2 : 0,88 + 3,53]2 – (2,75)2} : 0,52
= [(0,22 + 3,53)2 – (2,75)2] : 0,52
= [(3,75)2 – (2,75)2] : 0,52
= (14,0625 – 7,5625) : 0,52
= 6,5 : 0,52 = 12,5.
Vậy
Nếu a=-1,5; b=-0,75
Ta được: M=-1,5+2.(-1,5).(-0,75)-(-0,75)
=-1,5+2.1,125+0,75
=-1,5+2,25+0,75
=-1,5+3
=1,5
Nếu a=1,5; b=-0,75
Ta được: M=1,5+2.1,5.(-0,75)-(-0,75)
=1,5+3.(-0,75)+0,75
=1,5+(-2,25)+0,75
=-0,75+0,75
=0
Vậy.........
Hok tốt !!!
TH1: \(a< 0\Leftrightarrow a=-1,5\)
\(\Leftrightarrow M=-1,5+2.\left(-1,5\right)\left(-0,75\right)+0,75=1,5\)
TH2: \(a>0\Leftrightarrow a=1,5\)
\(\Leftrightarrow M=1,5+2.1,5.\left(-0,75\right)+0,75=0\)
\(P=\dfrac{\left(17,005-4,505\right)^2+93,75}{\left[\left(0,1936:0,88+3,53\right)^2-7,5625\right]:0,52}\)
\(P=\dfrac{\left(12,5\right)^2+93,75}{\left[\left(0,22+3,53\right)^2-7,5625\right]:0,52}\)
\(P=\dfrac{156,25+93,75}{\left[\left(3,75\right)^2-7,5625\right]:0,52}\)
\(P=\dfrac{250}{\left(14,0625-7,5625\right):0,52}\)
\(P=\dfrac{250}{6,5:0,52}=\dfrac{250}{12,5}=20\)
\(P=\dfrac{\left(17.005-4.505\right)^2+125\cdot\dfrac{3}{4}}{\left(3.75^2-2.75^2\right):0.52}\)
\(=\dfrac{\left(12.5\right)^2+12.5\cdot\dfrac{15}{2}}{\left(3.75+2.75\right):0.52}\)
\(=\dfrac{12.5\left(12.5+7.5\right)}{6.5:0.52}=\dfrac{12.5\cdot20}{12.5}=20\)
M = \(-0,5^2-4\left|-0,75\right|\)
\(=-0,25-4\cdot0,75\)
\(=-0,25-3=-3,25\)
~Học tốt~