Question

Tìm x

(x-2)³-(x-3)(x²+3x+9)+6(x+1)²=49

Giải chi tiết giúp mình nhé! Thanks

Answer 1

(x - 2)3 - (x - 3)(x2 + 3x + 9) + 6(x + 1)2 = 49

<=>x3-6x2+12x-8-(x3-27)+6(x2+2x+1)=49

<=>x3-6x2+12x-8-x3+27+6x2+12x+6=49

<=>24x+25=49

<=>24x=24

<=>x=1 x(x + 5)(x - 5) - (x + 2)(x2 - 2x + 4) = 42

<=>x(x2-25)-(x3+8)=42

<=>x3-25x-x3-8=42

<=>-25x-8=42

<=>-25x=50

<=>x=-2

Answer 2

\(\left(x-2\right)^3-\left(x-3\right)\left(x^2+3x+9\right)+6\left(x+1\right)^2=49\)

<=>\(\left(x^3-6x^2+12x-8\right)-\left(x^3-27\right)+6\left(x^2+2x+1\right)=49\)

<=>\(x^3-6x^2+12x-8-x^3+27+6x^2+12x+6=49\)

<=>24x+25=49 <=> 24x=24 <=> x=1