169-y^2=0 eching

$$169 - y ^ { 2 } = 0$$

y uchun yechish

$$y=13$$

$$y=-13$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 169 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-y^{2}=-169$$

Ikki tarafini -1 ga bo‘ling.

$$y^{2}=\frac{-169}{-1}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-169}{-1} kasrini 169 ga soddalashtirish mumkin.

$$y^{2}=169$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$y=13 y=-13$$

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.

$$-y^{2}+169=0$$

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 169 ni c bilan almashtiring.

$$y=\frac{0±\sqrt{0^{2}-4\left(-1\right)\times 169}}{2\left(-1\right)}$$

0 kvadratini chiqarish.

$$y=\frac{0±\sqrt{-4\left(-1\right)\times 169}}{2\left(-1\right)}$$

-4 ni -1 marotabaga ko'paytirish.

$$y=\frac{0±\sqrt{4\times 169}}{2\left(-1\right)}$$

4 ni 169 marotabaga ko'paytirish.

$$y=\frac{0±\sqrt{676}}{2\left(-1\right)}$$

676 ning kvadrat ildizini chiqarish.

$$y=\frac{0±26}{2\left(-1\right)}$$

2 ni -1 marotabaga ko'paytirish.

$$y=\frac{0±26}{-2}$$

y=\frac{0±26}{-2} tenglamasini yeching, bunda ± musbat. 26 ni -2 ga bo'lish.

$$y=-13$$

y=\frac{0±26}{-2} tenglamasini yeching, bunda ± manfiy. -26 ni -2 ga bo'lish.

$$y=13$$

Tenglama yechildi.

$$y=-13 y=13$$