x uchun yechish
x=\sqrt{7}\approx 2,645751311
x=-\sqrt{7}\approx -2,645751311
Grafik
Baham ko'rish
Klipbordga nusxa olish
x^{2}=9-2
Ikkala tarafdan 2 ni ayirish.
x^{2}=7
7 olish uchun 9 dan 2 ni ayirish.
x=\sqrt{7} x=-\sqrt{7}
Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.
x^{2}+2-9=0
Ikkala tarafdan 9 ni ayirish.
x^{2}-7=0
-7 olish uchun 2 dan 9 ni ayirish.
x=\frac{0±\sqrt{0^{2}-4\left(-7\right)}}{2}
Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1 ni a, 0 ni b va -7 ni c bilan almashtiring.
x=\frac{0±\sqrt{-4\left(-7\right)}}{2}
0 kvadratini chiqarish.
x=\frac{0±\sqrt{28}}{2}
-4 ni -7 marotabaga ko'paytirish.
x=\frac{0±2\sqrt{7}}{2}
28 ning kvadrat ildizini chiqarish.
x=\sqrt{7}
x=\frac{0±2\sqrt{7}}{2} tenglamasini yeching, bunda ± musbat.
x=-\sqrt{7}
x=\frac{0±2\sqrt{7}}{2} tenglamasini yeching, bunda ± manfiy.
x=\sqrt{7} x=-\sqrt{7}
Tenglama yechildi.
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}