x uchun yechish
x=\frac{300-10\sqrt{3}}{299}\approx 0,945416361
Grafik
Baham ko'rish
Klipbordga nusxa olish
\left(30+\sqrt{3}\right)x=30
x'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(\sqrt{3}+30\right)x=30
Tenglama standart shaklda.
\frac{\left(\sqrt{3}+30\right)x}{\sqrt{3}+30}=\frac{30}{\sqrt{3}+30}
Ikki tarafini 30+\sqrt{3} ga bo‘ling.
x=\frac{30}{\sqrt{3}+30}
30+\sqrt{3} ga bo'lish 30+\sqrt{3} ga ko'paytirishni bekor qiladi.
x=\frac{300-10\sqrt{3}}{299}
30 ni 30+\sqrt{3} 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}