1-t^2=1(t-t) eching

$$1 - t ^ { 2 } = 1 ( t - t )$$

t uchun yechish

$$t=1$$

$$t=-1$$

Kvadrat ildizini topish bo'yicha qadamlar

0 ni olish uchun t va -t ni birlashtirish.

$$1-t^{2}=1\times 0$$

0 hosil qilish uchun 1 va 0 ni ko'paytirish.

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

Ikkala tarafdan 1 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

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

Ikki tarafini -1 ga bo‘ling.

$$t^{2}=\frac{-1}{-1}$$

1 ni olish uchun -1 ni -1 ga bo‘ling.

$$t^{2}=1$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$t=1 t=-1$$

Kvadrat tenglamalaridan foydalanish qoidalari

0 ni olish uchun t va -t ni birlashtirish.

$$1-t^{2}=1\times 0$$

0 hosil qilish uchun 1 va 0 ni ko'paytirish.

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

Bu kabi kvadrat tenglamalarni x^{2} sharti bilan, biroq x shartisiz hamon kvadrat tenglamasidan foydalanib yechish mumkin, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ular standart formulaga solingandan so'ng: ax^{2}+bx+c=0.

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

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 1 ni c bilan almashtiring.

$$t=\frac{0±\sqrt{0^{2}-4\left(-1\right)}}{2\left(-1\right)}$$

0 kvadratini chiqarish.

$$t=\frac{0±\sqrt{-4\left(-1\right)}}{2\left(-1\right)}$$

-4 ni -1 marotabaga ko'paytirish.

$$t=\frac{0±\sqrt{4}}{2\left(-1\right)}$$

4 ning kvadrat ildizini chiqarish.

$$t=\frac{0±2}{2\left(-1\right)}$$

2 ni -1 marotabaga ko'paytirish.

$$t=\frac{0±2}{-2}$$

t=\frac{0±2}{-2} tenglamasini yeching, bunda ± musbat. 2 ni -2 ga bo'lish.

$$t=-1$$

t=\frac{0±2}{-2} tenglamasini yeching, bunda ± manfiy. -2 ni -2 ga bo'lish.

$$t=1$$

Tenglama yechildi.

$$t=-1 t=1$$