22*5=4*9t^2 eching

$$22 \cdot 5 = 4 \cdot 9 t ^ { 2 }$$

t uchun yechish

$$t = \frac{\sqrt{110}}{6} \approx 1,748014747$$

$$t = -\frac{\sqrt{110}}{6} \approx -1,748014747$$

Kvadrat ildizini topish bo'yicha qadamlar

110 hosil qilish uchun 22 va 5 ni ko'paytirish.

$$110=4\times 9t^{2}$$

36 hosil qilish uchun 4 va 9 ni ko'paytirish.

$$110=36t^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$36t^{2}=110$$

Ikki tarafini 36 ga bo‘ling.

$$t^{2}=\frac{110}{36}$$

\frac{110}{36} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$t^{2}=\frac{55}{18}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$t=\frac{\sqrt{110}}{6} t=-\frac{\sqrt{110}}{6}$$

Kvadrat tenglamalaridan foydalanish qoidalari

110 hosil qilish uchun 22 va 5 ni ko'paytirish.

$$110=4\times 9t^{2}$$

36 hosil qilish uchun 4 va 9 ni ko'paytirish.

$$110=36t^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$36t^{2}=110$$

Ikkala tarafdan 110 ni ayirish.

$$36t^{2}-110=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 36 ni a, 0 ni b va -110 ni c bilan almashtiring.

$$t=\frac{0±\sqrt{0^{2}-4\times 36\left(-110\right)}}{2\times 36}$$

0 kvadratini chiqarish.

$$t=\frac{0±\sqrt{-4\times 36\left(-110\right)}}{2\times 36}$$

-4 ni 36 marotabaga ko'paytirish.

$$t=\frac{0±\sqrt{-144\left(-110\right)}}{2\times 36}$$

-144 ni -110 marotabaga ko'paytirish.

$$t=\frac{0±\sqrt{15840}}{2\times 36}$$

15840 ning kvadrat ildizini chiqarish.

$$t=\frac{0±12\sqrt{110}}{2\times 36}$$

2 ni 36 marotabaga ko'paytirish.

$$t=\frac{0±12\sqrt{110}}{72}$$

t=\frac{0±12\sqrt{110}}{72} tenglamasini yeching, bunda ± musbat.

$$t=\frac{\sqrt{110}}{6}$$

t=\frac{0±12\sqrt{110}}{72} tenglamasini yeching, bunda ± manfiy.

$$t=-\frac{\sqrt{110}}{6}$$

Tenglama yechildi.

$$t=\frac{\sqrt{110}}{6} t=-\frac{\sqrt{110}}{6}$$