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a: \(\dfrac{x}{0.9}=\dfrac{5}{6}\)
\(\Leftrightarrow x=\dfrac{3}{4}\)
b: \(\dfrac{-6}{x}=\dfrac{9}{-15}\)
\(\Leftrightarrow x=10\)
c: \(\dfrac{\dfrac{14}{15}}{\dfrac{9}{10}}=\dfrac{x}{\dfrac{3}{7}}\)
\(\Leftrightarrow x=\dfrac{3}{7}\cdot\dfrac{14}{15}:\dfrac{9}{10}=\dfrac{2}{5}\cdot\dfrac{10}{9}=\dfrac{20}{45}=\dfrac{4}{9}\)
a, \(P\left(x\right)=15-4x^3+3x^2+2x-x^3-10=-5x^3+3x^2+2x+5\)
\(Q\left(x\right)=5+4x^3+6x^2-5x-9x^3+7x=-5x^3+6x^2+2x+5\)
b, \(P\left(x\right)+Q\left(x\right)=-5x^3+3x^2+2x+5-5x^3+6x^2+2x+5\)
\(=-10x^3+9x^2+4x+10\)Thay x = 1/2 vào ta được :
\(=-\frac{10.1}{8}+\frac{9.1}{4}+\frac{4.1}{2}+10=-\frac{5}{4}+\frac{9}{4}+2+10=1+2+10=13\)
c, \(P\left(x\right)-Q\left(x\right)=-5x^3+3x^2+2x+5+5x^3-6x^2-2x-5=6\)
\(\Leftrightarrow-3x^2=6\Leftrightarrow x^2=-2\)vô lí vì \(x^2\ge0;-2< 0\)
Bài 2
P(x) + Q(x) = x3 – 6x + 2 + 2x2 - 4x3 + x - 5 = - 3x3 + 2x2 – 5x - 3
P(x) - Q(x) = x3 – 6x + 2 - 2x2 + 4x3 - x + 5 = 5x3 − 2x2 − 7x+7
a)
\(\begin{array}{l}x.\frac{{14}}{{27}} = \frac{{ - 7}}{9}\\x = \frac{{ - 7}}{9}:\frac{{14}}{{27}}\\x = \frac{{ - 7}}{9}.\frac{{27}}{{14}}\\x = \frac{{ - 3}}{2}\end{array}\)
Vậy \(x = \frac{{ - 3}}{2}\).
b)
\(\begin{array}{l}\left( {\frac{{ - 5}}{9}} \right):x = \frac{2}{3}\\x = \left( {\frac{{ - 5}}{9}} \right):\frac{2}{3}\\x = \left( {\frac{{ - 5}}{9}} \right).\frac{3}{2}\\x = \frac{{ - 5}}{6}\end{array}\)
Vậy \(x = \frac{{ - 5}}{6}\).
c)
\(\begin{array}{l}\frac{2}{5}:x = \frac{1}{{16}}:0,125\\\frac{2}{5}:x = \frac{1}{{16}}:\frac{1}{8}\\\frac{2}{5}:x = \frac{1}{{16}}.8\\\frac{2}{5}:x = \frac{1}{2}\\x = \frac{2}{5}:\frac{1}{2}\\x = \frac{2}{5}.2\\x = \frac{4}{5}\end{array}\)
Vậy \(x = \frac{4}{5}\)
d)
\(\begin{array}{l} - \frac{5}{{12}}x = \frac{2}{3} - \frac{1}{2}\\ - \frac{5}{{12}}x = \frac{4}{6} - \frac{3}{6}\\ - \frac{5}{{12}}x = \frac{1}{6}\\x = \frac{1}{6}:\left( { - \frac{5}{{12}}} \right)\\x = \frac{1}{6}.\frac{{ - 12}}{5}\\x = \frac{{ - 2}}{5}\end{array}\)
Vậy \(x = \frac{{ - 2}}{5}\).
Chú ý: Khi trình bày lời giải bài tìm x, sau khi tính xong, ta phải kết luận.
3: \(=\dfrac{13}{5}\left(-\dfrac{3}{14}+\dfrac{2}{5}+\dfrac{-11}{14}+\dfrac{3}{5}\right)\)
=0
\(2^4\cdot\dfrac{3^{14}}{3^9}\cdot5^3=2^4\cdot3^5\cdot5^3=4^3\cdot27^3\cdot5^3=\left(4\cdot27\cdot5\right)^3=540^3\)
Tick mik nha❤