x uchun yechish
x = \frac{\sqrt{5} + 3}{2} \approx 2,618033989
x=\frac{3-\sqrt{5}}{2}\approx 0,381966011
Grafik
Baham ko'rish
Klipbordga nusxa olish
\left(2x-3\right)^{2}-5+5=5
5 ni tenglamaning ikkala tarafiga qo'shish.
\left(2x-3\right)^{2}=5
O‘zidan 5 ayirilsa 0 qoladi.
2x-3=\sqrt{5} 2x-3=-\sqrt{5}
Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.
2x-3-\left(-3\right)=\sqrt{5}-\left(-3\right) 2x-3-\left(-3\right)=-\sqrt{5}-\left(-3\right)
3 ni tenglamaning ikkala tarafiga qo'shish.
2x=\sqrt{5}-\left(-3\right) 2x=-\sqrt{5}-\left(-3\right)
O‘zidan -3 ayirilsa 0 qoladi.
2x=\sqrt{5}+3
\sqrt{5} dan -3 ni ayirish.
2x=3-\sqrt{5}
-\sqrt{5} dan -3 ni ayirish.
\frac{2x}{2}=\frac{\sqrt{5}+3}{2} \frac{2x}{2}=\frac{3-\sqrt{5}}{2}
Ikki tarafini 2 ga bo‘ling.
x=\frac{\sqrt{5}+3}{2} x=\frac{3-\sqrt{5}}{2}
2 ga bo'lish 2 ga ko'paytirishni bekor qiladi.
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