1-2m^2-m^4=0 eching

$$1 - 2 m ^ { 2 } - m ^ { 4 } = 0$$

m uchun yechish

$$m=-\sqrt{\sqrt{2}-1}\approx -0,643594253$$

$$m=\sqrt{\sqrt{2}-1}\approx 0,643594253$$

Kvadrat tenglamalaridan foydalanish qoidalari

m^{2} uchun t ni almashtiring.

$$-t^{2}-2t+1=0$$

ax^{2}+bx+c=0 shaklidagi barcha tenglamalarni bu formula bilan yechish mumkin: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. Kvadrat tenglamada a uchun -1 ni, b uchun -2 ni va c uchun 1 ni ayiring.

$$t=\frac{-\left(-2\right)±\sqrt{\left(-2\right)^{2}-4\left(-1\right)\times 1}}{-2}$$

Hisoblarni amalga oshiring.

$$t=\frac{2±2\sqrt{2}}{-2}$$

t=\frac{2±2\sqrt{2}}{-2} tenglamasini ± plus va ± minus boʻlgan holatida ishlang.

$$t=-\sqrt{2}-1 t=\sqrt{2}-1$$

m=t^{2} boʻlganda, yechimlar musbat t uchun m=±\sqrt{t} hisoblanishi orqali olinadi.

$$m=\sqrt{\sqrt{2}-1} m=-\sqrt{\sqrt{2}-1}$$