32x^2-7=0 eching

$$32 x ^ { 2 } - 7 = 0$$

x uchun yechish

$$x=\frac{\sqrt{14}}{8}\approx 0,467707173$$

$$x=-\frac{\sqrt{14}}{8}\approx -0,467707173$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$32x^{2}=7$$

Ikki tarafini 32 ga bo‘ling.

$$x^{2}=\frac{7}{32}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{14}}{8} x=-\frac{\sqrt{14}}{8}$$

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.

$$32x^{2}-7=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 32 ni a, 0 ni b va -7 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 32\left(-7\right)}}{2\times 32}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 32\left(-7\right)}}{2\times 32}$$

-4 ni 32 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-128\left(-7\right)}}{2\times 32}$$

-128 ni -7 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{896}}{2\times 32}$$

896 ning kvadrat ildizini chiqarish.

$$x=\frac{0±8\sqrt{14}}{2\times 32}$$

2 ni 32 marotabaga ko'paytirish.

$$x=\frac{0±8\sqrt{14}}{64}$$

x=\frac{0±8\sqrt{14}}{64} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{14}}{8}$$

x=\frac{0±8\sqrt{14}}{64} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{14}}{8}$$

Tenglama yechildi.

$$x=\frac{\sqrt{14}}{8} x=-\frac{\sqrt{14}}{8}$$