44x^2*sqrt{9}=1 eching

$$44 { x }^{ 2 } \times \sqrt{ 9 } =1$$

x uchun yechish

$$x=\frac{\sqrt{33}}{66}\approx 0,087038828$$

$$x=-\frac{\sqrt{33}}{66}\approx -0,087038828$$

Kvadrat ildizini topish bo'yicha qadamlar

9 ning kvadrat ildizini hisoblab, 3 natijaga ega bo‘ling.

$$44x^{2}\times 3=1$$

132 hosil qilish uchun 44 va 3 ni ko'paytirish.

$$132x^{2}=1$$

Ikki tarafini 132 ga bo‘ling.

$$x^{2}=\frac{1}{132}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{33}}{66} x=-\frac{\sqrt{33}}{66}$$

Kvadrat tenglamalaridan foydalanish qoidalari

9 ning kvadrat ildizini hisoblab, 3 natijaga ega bo‘ling.

$$44x^{2}\times 3=1$$

132 hosil qilish uchun 44 va 3 ni ko'paytirish.

$$132x^{2}=1$$

Ikkala tarafdan 1 ni ayirish.

$$132x^{2}-1=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 132 ni a, 0 ni b va -1 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 132\left(-1\right)}}{2\times 132}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 132\left(-1\right)}}{2\times 132}$$

-4 ni 132 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-528\left(-1\right)}}{2\times 132}$$

-528 ni -1 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{528}}{2\times 132}$$

528 ning kvadrat ildizini chiqarish.

$$x=\frac{0±4\sqrt{33}}{2\times 132}$$

2 ni 132 marotabaga ko'paytirish.

$$x=\frac{0±4\sqrt{33}}{264}$$

x=\frac{0±4\sqrt{33}}{264} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{33}}{66}$$

x=\frac{0±4\sqrt{33}}{264} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{33}}{66}$$

Tenglama yechildi.

$$x=\frac{\sqrt{33}}{66} x=-\frac{\sqrt{33}}{66}$$