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8x3+30x2+150x+125
=(2x)3+3. (2x)2.5+ 3.2x.52+53
=(2x+5)3
8x3 + 30x2 + 150x + 125 = (2x)3 + 3. (2x)2.5 + 3. 2x. 52 + 53 = (2x + 5)3
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1: \(\Leftrightarrow x^3-9x^2+27x-27=-35\)
\(\Leftrightarrow\left(x-3\right)^3=-35\)
\(\Leftrightarrow x-3=\sqrt[3]{-35}\)
hay \(x=\sqrt[3]{-35}+3\)
2: \(\Leftrightarrow8x^3-12x^2+6x-1-8x^3+12x^2=5\)
=>6x=6
hay x=1
4: \(\Leftrightarrow x^3+3x^2+3x+1-x^3+3x^2-3x+1-6x^2+12x-6=-10\)
=>12x-4=-10
=>12x=-6
hay x=-1/2
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\(2x+2x^5=2x\left(1+x^4\right)\)
\(15x^2:30x^2=\left(15:30\right)\left(x^2:x^2\right)=\frac{1}{2}\)
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(6x+1)(2x-5)=12x2-30x+2x-5=12x2-28x-5
(2x+5)2-2x(2x+8)=4x2+20x+25-4x2-16x=4x+25
(3x-5)(2x-1)-(2x+3)(3x+7)+30x=6x2-3x-10x+5=6x2-13x+5
(X-1)2-(x+1)(x-1)=x2-2x+1-x2+1=-2x+2
(3x+2)(9x2-6x+4)-(3+x)(x-3)=27x3+8+9-x2=27x3-x2+17
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=\(x.\left(3x^2-150\right)=0\)
=> x = 0 hoặc \(3x^2-150=0\)
=> \(3x^2=150\)
=> \(x^2=50\)
=> x = 5\(\sqrt{2}\)
hoặc x = -5\(\sqrt{2}\)
vậy x = 0 hoặc 5\(\sqrt{2}\)hoặc -5\(\sqrt{2}\)
=2x²(x-15)+50(3x-5)