3y^2-9=0 eching

$$3 y ^ { 2 } - 9 = 0$$

y uchun yechish

$$y=\sqrt{3}\approx 1,732050808$$

$$y=-\sqrt{3}\approx -1,732050808$$

Kvadrat ildizini topish bo'yicha qadamlar

9 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$3y^{2}=9$$

Ikki tarafini 3 ga bo‘ling.

$$y^{2}=\frac{9}{3}$$

3 ni olish uchun 9 ni 3 ga bo‘ling.

$$y^{2}=3$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$y=\sqrt{3} y=-\sqrt{3}$$

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.

$$3y^{2}-9=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 3 ni a, 0 ni b va -9 ni c bilan almashtiring.

$$y=\frac{0±\sqrt{0^{2}-4\times 3\left(-9\right)}}{2\times 3}$$

0 kvadratini chiqarish.

$$y=\frac{0±\sqrt{-4\times 3\left(-9\right)}}{2\times 3}$$

-4 ni 3 marotabaga ko'paytirish.

$$y=\frac{0±\sqrt{-12\left(-9\right)}}{2\times 3}$$

-12 ni -9 marotabaga ko'paytirish.

$$y=\frac{0±\sqrt{108}}{2\times 3}$$

108 ning kvadrat ildizini chiqarish.

$$y=\frac{0±6\sqrt{3}}{2\times 3}$$

2 ni 3 marotabaga ko'paytirish.

$$y=\frac{0±6\sqrt{3}}{6}$$

y=\frac{0±6\sqrt{3}}{6} tenglamasini yeching, bunda ± musbat.

$$y=\sqrt{3}$$

y=\frac{0±6\sqrt{3}}{6} tenglamasini yeching, bunda ± manfiy.

$$y=-\sqrt{3}$$

Tenglama yechildi.

$$y=\sqrt{3} y=-\sqrt{3}$$