x uchun yechish
x=5\sqrt{2}\approx 7,071067812
x=-5\sqrt{2}\approx -7,071067812
Grafik
Baham ko'rish
Klipbordga nusxa olish
x=5\sqrt{2} x=-5\sqrt{2}
Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.
x^{2}-50=0
Ikkala tarafdan 50 ni ayirish.
x=\frac{0±\sqrt{0^{2}-4\left(-50\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 -50 ni c bilan almashtiring.
x=\frac{0±\sqrt{-4\left(-50\right)}}{2}
0 kvadratini chiqarish.
x=\frac{0±\sqrt{200}}{2}
-4 ni -50 marotabaga ko'paytirish.
x=\frac{0±10\sqrt{2}}{2}
200 ning kvadrat ildizini chiqarish.
x=5\sqrt{2}
x=\frac{0±10\sqrt{2}}{2} tenglamasini yeching, bunda ± musbat.
x=-5\sqrt{2}
x=\frac{0±10\sqrt{2}}{2} tenglamasini yeching, bunda ± manfiy.
x=5\sqrt{2} x=-5\sqrt{2}
Tenglama yechildi.
Misollar
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\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]
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