3t^2=38*5 eching

$$3 t ^ { 2 } = 38 \times 5$$

t uchun yechish

$$t = \frac{\sqrt{570}}{3} \approx 7,958224258$$

$$t = -\frac{\sqrt{570}}{3} \approx -7,958224258$$

Kvadrat ildizini topish bo'yicha qadamlar

190 hosil qilish uchun 38 va 5 ni ko'paytirish.

$$3t^{2}=190$$

Ikki tarafini 3 ga bo‘ling.

$$t^{2}=\frac{190}{3}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$t=\frac{\sqrt{570}}{3} t=-\frac{\sqrt{570}}{3}$$

Kvadrat tenglamalaridan foydalanish qoidalari

190 hosil qilish uchun 38 va 5 ni ko'paytirish.

$$3t^{2}=190$$

Ikkala tarafdan 190 ni ayirish.

$$3t^{2}-190=0$$

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 -190 ni c bilan almashtiring.

$$t=\frac{0±\sqrt{0^{2}-4\times 3\left(-190\right)}}{2\times 3}$$

0 kvadratini chiqarish.

$$t=\frac{0±\sqrt{-4\times 3\left(-190\right)}}{2\times 3}$$

-4 ni 3 marotabaga ko'paytirish.

$$t=\frac{0±\sqrt{-12\left(-190\right)}}{2\times 3}$$

-12 ni -190 marotabaga ko'paytirish.

$$t=\frac{0±\sqrt{2280}}{2\times 3}$$

2280 ning kvadrat ildizini chiqarish.

$$t=\frac{0±2\sqrt{570}}{2\times 3}$$

2 ni 3 marotabaga ko'paytirish.

$$t=\frac{0±2\sqrt{570}}{6}$$

t=\frac{0±2\sqrt{570}}{6} tenglamasini yeching, bunda ± musbat.

$$t=\frac{\sqrt{570}}{3}$$

t=\frac{0±2\sqrt{570}}{6} tenglamasini yeching, bunda ± manfiy.

$$t=-\frac{\sqrt{570}}{3}$$

Tenglama yechildi.

$$t=\frac{\sqrt{570}}{3} t=-\frac{\sqrt{570}}{3}$$