B uchun yechish (complex solution)
\left\{\begin{matrix}B=\frac{X}{\left(2x+3\right)^{2}}\text{, }&x\neq -\frac{3}{2}\\B\in \mathrm{C}\text{, }&X=0\text{ and }x=-\frac{3}{2}\end{matrix}\right,
B uchun yechish
\left\{\begin{matrix}B=\frac{X}{\left(2x+3\right)^{2}}\text{, }&x\neq -\frac{3}{2}\\B\in \mathrm{R}\text{, }&X=0\text{ and }x=-\frac{3}{2}\end{matrix}\right,
X uchun yechish
X=B\left(2x+3\right)^{2}
Grafik
Baham ko'rish
Klipbordga nusxa olish
X=\left(4x^{2}+12x+9\right)B
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(2x+3\right)^{2} kengaytirilishi uchun ishlating.
X=4x^{2}B+12xB+9B
4x^{2}+12x+9 ga B ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4x^{2}B+12xB+9B=X
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
\left(4x^{2}+12x+9\right)B=X
B'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(4x^{2}+12x+9\right)B}{4x^{2}+12x+9}=\frac{X}{4x^{2}+12x+9}
Ikki tarafini 4x^{2}+12x+9 ga bo‘ling.
B=\frac{X}{4x^{2}+12x+9}
4x^{2}+12x+9 ga bo'lish 4x^{2}+12x+9 ga ko'paytirishni bekor qiladi.
B=\frac{X}{\left(2x+3\right)^{2}}
X ni 4x^{2}+12x+9 ga bo'lish.
X=\left(4x^{2}+12x+9\right)B
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(2x+3\right)^{2} kengaytirilishi uchun ishlating.
X=4x^{2}B+12xB+9B
4x^{2}+12x+9 ga B ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4x^{2}B+12xB+9B=X
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
\left(4x^{2}+12x+9\right)B=X
B'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(4x^{2}+12x+9\right)B}{4x^{2}+12x+9}=\frac{X}{4x^{2}+12x+9}
Ikki tarafini 4x^{2}+12x+9 ga bo‘ling.
B=\frac{X}{4x^{2}+12x+9}
4x^{2}+12x+9 ga bo'lish 4x^{2}+12x+9 ga ko'paytirishni bekor qiladi.
B=\frac{X}{\left(2x+3\right)^{2}}
X ni 4x^{2}+12x+9 ga bo'lish.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}