2*14x^2+121x^2=9 eching

$$2 \times 14 { x }^{ 2 } +121 { x }^{ 2 } =9$$

x uchun yechish

$$x=\frac{3\sqrt{149}}{149}\approx 0,245769576$$

$$x=-\frac{3\sqrt{149}}{149}\approx -0,245769576$$

Kvadrat ildizini topish bo'yicha qadamlar

28 hosil qilish uchun 2 va 14 ni ko'paytirish.

$$28x^{2}+121x^{2}=9$$

149x^{2} ni olish uchun 28x^{2} va 121x^{2} ni birlashtirish.

$$149x^{2}=9$$

Ikki tarafini 149 ga bo‘ling.

$$x^{2}=\frac{9}{149}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{3\sqrt{149}}{149} x=-\frac{3\sqrt{149}}{149}$$

Kvadrat tenglamalaridan foydalanish qoidalari

28 hosil qilish uchun 2 va 14 ni ko'paytirish.

$$28x^{2}+121x^{2}=9$$

149x^{2} ni olish uchun 28x^{2} va 121x^{2} ni birlashtirish.

$$149x^{2}=9$$

Ikkala tarafdan 9 ni ayirish.

$$149x^{2}-9=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 149 ni a, 0 ni b va -9 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 149\left(-9\right)}}{2\times 149}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 149\left(-9\right)}}{2\times 149}$$

-4 ni 149 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-596\left(-9\right)}}{2\times 149}$$

-596 ni -9 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{5364}}{2\times 149}$$

5364 ning kvadrat ildizini chiqarish.

$$x=\frac{0±6\sqrt{149}}{2\times 149}$$

2 ni 149 marotabaga ko'paytirish.

$$x=\frac{0±6\sqrt{149}}{298}$$

x=\frac{0±6\sqrt{149}}{298} tenglamasini yeching, bunda ± musbat.

$$x=\frac{3\sqrt{149}}{149}$$

x=\frac{0±6\sqrt{149}}{298} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{3\sqrt{149}}{149}$$

Tenglama yechildi.

$$x=\frac{3\sqrt{149}}{149} x=-\frac{3\sqrt{149}}{149}$$