-x^2+81=0 eching

$$- x ^ { 2 } + 81 = 0$$

x uchun yechish

$$x=9$$

$$x=-9$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 81 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-x^{2}=-81$$

Ikki tarafini -1 ga bo‘ling.

$$x^{2}=\frac{-81}{-1}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-81}{-1} kasrini 81 ga soddalashtirish mumkin.

$$x^{2}=81$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=9 x=-9$$

Kvadrat tenglamalaridan foydalanish qoidalari

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.

$$-x^{2}+81=0$$

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 81 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-1\right)\times 81}}{2\left(-1\right)}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-1\right)\times 81}}{2\left(-1\right)}$$

-4 ni -1 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{4\times 81}}{2\left(-1\right)}$$

4 ni 81 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{324}}{2\left(-1\right)}$$

324 ning kvadrat ildizini chiqarish.

$$x=\frac{0±18}{2\left(-1\right)}$$

2 ni -1 marotabaga ko'paytirish.

$$x=\frac{0±18}{-2}$$

x=\frac{0±18}{-2} tenglamasini yeching, bunda ± musbat. 18 ni -2 ga bo'lish.

$$x=-9$$

x=\frac{0±18}{-2} tenglamasini yeching, bunda ± manfiy. -18 ni -2 ga bo'lish.

$$x=9$$

Tenglama yechildi.

$$x=-9 x=9$$