e) 5𝑥+1 + 5𝑥 = 150 ai nhanh nhất mk sẽ tick cho nha cảm ơn m.n trc ạ |
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a: \(5x^4-x^3+7x\)
\(=x\left(5x^3-x^2+7\right)\)
c: \(x^2-5x+6=\left(x-2\right)\left(x-3\right)\)
\(\left(5x-1\right)\left(x+3\right)-\left(x-2\right)\left(5x-4\right)\)
\(=5x^2+14x-3-5x^2+14x-8\)
\(=28x-11\)
\(x+\dfrac{4}{5}\times\dfrac{3}{8}=\dfrac{3}{2}\)
\(x+\dfrac{3}{10}=\dfrac{3}{2}\)
\(x=\dfrac{3}{2}-\dfrac{3}{10}\)
\(x=\dfrac{12}{10}=\dfrac{6}{5}\)
a: \(\left(x^2+1\right)\left(x-3\right)-\left(x-3\right)\left(x^2+3x+9\right)\)
\(=\left(x-3\right)\left(x^2+1-x^2-3x-9\right)\)
=(x-3)(-3x-8)
b: \(\left(x+2\right)^2+x\left(x+5\right)\)
\(=x^2+4x+4+x^2+5x\)
\(=2x^2+9x+4=2x^2+8x+x+4\)
=2x(x+4)+(x+4)
=(x+4)(2x+1)
c: \(\left(5x+4y\right)\left(5x-4y\right)-24x^2+15y^2\)
\(=25x^2-16y^2-24x^2+15y^2\)
\(=x^2-y^2=\left(x-y\right)\left(x+y\right)\)
`# \text {04th5}`
`a)`
\(7 \dfrac{3}{5} \div x = 5 \dfrac{4}{15} - 1 \dfrac{1}{6}\)
\(\Rightarrow 7 \dfrac{3}{5} \div x = \dfrac{41}{10}\)
\(\Rightarrow x = 7\dfrac{3}{5} \div \dfrac{41}{10}\)
\(\Rightarrow x = \dfrac{76}{41}\)
Vậy, $x = \dfrac{76}{41}$
`b)`
$x \times 2 \dfrac{2}{3} = 3 \dfrac{4}{8} + 6 \dfrac{5}{12}$
$\Rightarrow x \times \dfrac{2}{3} = \dfrac{119}{12}$
$\Rightarrow x = \dfrac{119}{12} \div \dfrac{2}{3}$
$\Rightarrow x = \dfrac{119}{8}$
Vậy, $x = \dfrac{119}{8}.$
e) \(5^{x+1}+5^x=150\)
\(\Leftrightarrow5^x.5+5^x=150\)
\(\Leftrightarrow6.5^x=150\)
\(\Leftrightarrow5^x=25=5^2\)
\(\Leftrightarrow x=2\)