x uchun yechish
x=5-\sqrt{7}\approx 2,354248689
x=\sqrt{7}+5\approx 7,645751311
Grafik
Viktorina
Polynomial
( 5 - x ) ^ { 2 } = 7
Baham ko'rish
Klipbordga nusxa olish
-x+5=\sqrt{7} -x+5=-\sqrt{7}
Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.
-x+5-5=\sqrt{7}-5 -x+5-5=-\sqrt{7}-5
Tenglamaning ikkala tarafidan 5 ni ayirish.
-x=\sqrt{7}-5 -x=-\sqrt{7}-5
O‘zidan 5 ayirilsa 0 qoladi.
-x=\sqrt{7}-5
\sqrt{7} dan 5 ni ayirish.
-x=-\sqrt{7}-5
-\sqrt{7} dan 5 ni ayirish.
\frac{-x}{-1}=\frac{\sqrt{7}-5}{-1} \frac{-x}{-1}=\frac{-\sqrt{7}-5}{-1}
Ikki tarafini -1 ga bo‘ling.
x=\frac{\sqrt{7}-5}{-1} x=\frac{-\sqrt{7}-5}{-1}
-1 ga bo'lish -1 ga ko'paytirishni bekor qiladi.
x=5-\sqrt{7}
\sqrt{7}-5 ni -1 ga bo'lish.
x=\sqrt{7}+5
-\sqrt{7}-5 ni -1 ga bo'lish.
x=5-\sqrt{7} x=\sqrt{7}+5
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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