6x^2-5=0 eching

$$6 x ^ { 2 } - 5 = 0$$

x uchun yechish

$$x=\frac{\sqrt{30}}{6}\approx 0,912870929$$

$$x=-\frac{\sqrt{30}}{6}\approx -0,912870929$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$6x^{2}=5$$

Ikki tarafini 6 ga bo‘ling.

$$x^{2}=\frac{5}{6}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{30}}{6} x=-\frac{\sqrt{30}}{6}$$

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.

$$6x^{2}-5=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 6 ni a, 0 ni b va -5 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 6\left(-5\right)}}{2\times 6}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 6\left(-5\right)}}{2\times 6}$$

-4 ni 6 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-24\left(-5\right)}}{2\times 6}$$

-24 ni -5 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{120}}{2\times 6}$$

120 ning kvadrat ildizini chiqarish.

$$x=\frac{0±2\sqrt{30}}{2\times 6}$$

2 ni 6 marotabaga ko'paytirish.

$$x=\frac{0±2\sqrt{30}}{12}$$

x=\frac{0±2\sqrt{30}}{12} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{30}}{6}$$

x=\frac{0±2\sqrt{30}}{12} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{30}}{6}$$

Tenglama yechildi.

$$x=\frac{\sqrt{30}}{6} x=-\frac{\sqrt{30}}{6}$$