s^2=41.7+11.1/2*35 eching

$$s ^ { 2 } = \frac { 41.7 + 11.1 } { 2 } \cdot 35$$

s uchun yechish

$$s=2\sqrt{231}\approx 30,397368307$$

$$s=-2\sqrt{231}\approx -30,397368307$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafini 2 ga ko'paytirish.

$$2s^{2}=\left(41,7+11,1\right)\times 35$$

52,8 olish uchun 41,7 va 11,1'ni qo'shing.

$$2s^{2}=52,8\times 35$$

1848 hosil qilish uchun 52,8 va 35 ni ko'paytirish.

$$2s^{2}=1848$$

Ikki tarafini 2 ga bo‘ling.

$$s^{2}=\frac{1848}{2}$$

924 ni olish uchun 1848 ni 2 ga bo‘ling.

$$s^{2}=924$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$s=2\sqrt{231} s=-2\sqrt{231}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Tenglamaning ikkala tarafini 2 ga ko'paytirish.

$$2s^{2}=\left(41.7+11.1\right)\times 35$$

52.8 olish uchun 41.7 va 11.1'ni qo'shing.

$$2s^{2}=52.8\times 35$$

1848 hosil qilish uchun 52.8 va 35 ni ko'paytirish.

$$2s^{2}=1848$$

Ikkala tarafdan 1848 ni ayirish.

$$2s^{2}-1848=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 2 ni a, 0 ni b va -1848 ni c bilan almashtiring.

$$s=\frac{0±\sqrt{0^{2}-4\times 2\left(-1848\right)}}{2\times 2}$$

0 kvadratini chiqarish.

$$s=\frac{0±\sqrt{-4\times 2\left(-1848\right)}}{2\times 2}$$

-4 ni 2 marotabaga ko'paytirish.

$$s=\frac{0±\sqrt{-8\left(-1848\right)}}{2\times 2}$$

-8 ni -1848 marotabaga ko'paytirish.

$$s=\frac{0±\sqrt{14784}}{2\times 2}$$

14784 ning kvadrat ildizini chiqarish.

$$s=\frac{0±8\sqrt{231}}{2\times 2}$$

2 ni 2 marotabaga ko'paytirish.

$$s=\frac{0±8\sqrt{231}}{4}$$

s=\frac{0±8\sqrt{231}}{4} tenglamasini yeching, bunda ± musbat.

$$s=2\sqrt{231}$$

s=\frac{0±8\sqrt{231}}{4} tenglamasini yeching, bunda ± manfiy.

$$s=-2\sqrt{231}$$

Tenglama yechildi.

$$s=2\sqrt{231} s=-2\sqrt{231}$$