25m^2+10m^2+1-32m^2-32=0 eching

$$25 m ^ { 2 } + 10 m ^ { 2 } + 1 - 32 m ^ { 2 } - 32 = 0$$

m uchun yechish

$$m = \frac{\sqrt{93}}{3} \approx 3,214550254$$

$$m = -\frac{\sqrt{93}}{3} \approx -3,214550254$$

Kvadrat ildizini topish bo'yicha qadamlar

35m^{2} ni olish uchun 25m^{2} va 10m^{2} ni birlashtirish.

$$35m^{2}+1-32m^{2}-32=0$$

3m^{2} ni olish uchun 35m^{2} va -32m^{2} ni birlashtirish.

$$3m^{2}+1-32=0$$

-31 olish uchun 1 dan 32 ni ayirish.

$$3m^{2}-31=0$$

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

$$3m^{2}=31$$

Ikki tarafini 3 ga bo‘ling.

$$m^{2}=\frac{31}{3}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$m=\frac{\sqrt{93}}{3} m=-\frac{\sqrt{93}}{3}$$

Kvadrat tenglamalaridan foydalanish qoidalari

35m^{2} ni olish uchun 25m^{2} va 10m^{2} ni birlashtirish.

$$35m^{2}+1-32m^{2}-32=0$$

3m^{2} ni olish uchun 35m^{2} va -32m^{2} ni birlashtirish.

$$3m^{2}+1-32=0$$

-31 olish uchun 1 dan 32 ni ayirish.

$$3m^{2}-31=0$$

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 -31 ni c bilan almashtiring.

$$m=\frac{0±\sqrt{0^{2}-4\times 3\left(-31\right)}}{2\times 3}$$

0 kvadratini chiqarish.

$$m=\frac{0±\sqrt{-4\times 3\left(-31\right)}}{2\times 3}$$

-4 ni 3 marotabaga ko'paytirish.

$$m=\frac{0±\sqrt{-12\left(-31\right)}}{2\times 3}$$

-12 ni -31 marotabaga ko'paytirish.

$$m=\frac{0±\sqrt{372}}{2\times 3}$$

372 ning kvadrat ildizini chiqarish.

$$m=\frac{0±2\sqrt{93}}{2\times 3}$$

2 ni 3 marotabaga ko'paytirish.

$$m=\frac{0±2\sqrt{93}}{6}$$

m=\frac{0±2\sqrt{93}}{6} tenglamasini yeching, bunda ± musbat.

$$m=\frac{\sqrt{93}}{3}$$

m=\frac{0±2\sqrt{93}}{6} tenglamasini yeching, bunda ± manfiy.

$$m=-\frac{\sqrt{93}}{3}$$

Tenglama yechildi.

$$m=\frac{\sqrt{93}}{3} m=-\frac{\sqrt{93}}{3}$$