1/2quada^2=1/29 eching

$$\frac { 1 } { 2 } \quad a ^ { 2 } = \frac { 1 } { 29 }$$

a uchun yechish

$$a=\frac{\sqrt{58}}{29}\approx 0,262612866$$

$$a=-\frac{\sqrt{58}}{29}\approx -0,262612866$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 2 va teskari kasri \frac{1}{2} ga ko‘paytiring.

$$a^{2}=\frac{1}{29}\times 2$$

\frac{2}{29} hosil qilish uchun \frac{1}{29} va 2 ni ko'paytirish.

$$a^{2}=\frac{2}{29}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$a=\frac{\sqrt{58}}{29} a=-\frac{\sqrt{58}}{29}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 2 va teskari kasri \frac{1}{2} ga ko‘paytiring.

$$a^{2}=\frac{1}{29}\times 2$$

\frac{2}{29} hosil qilish uchun \frac{1}{29} va 2 ni ko'paytirish.

$$a^{2}=\frac{2}{29}$$

Ikkala tarafdan \frac{2}{29} ni ayirish.

$$a^{2}-\frac{2}{29}=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1 ni a, 0 ni b va -\frac{2}{29} ni c bilan almashtiring.

$$a=\frac{0±\sqrt{0^{2}-4\left(-\frac{2}{29}\right)}}{2}$$

0 kvadratini chiqarish.

$$a=\frac{0±\sqrt{-4\left(-\frac{2}{29}\right)}}{2}$$

-4 ni -\frac{2}{29} marotabaga ko'paytirish.

$$a=\frac{0±\sqrt{\frac{8}{29}}}{2}$$

\frac{8}{29} ning kvadrat ildizini chiqarish.

$$a=\frac{0±\frac{2\sqrt{58}}{29}}{2}$$

a=\frac{0±\frac{2\sqrt{58}}{29}}{2} tenglamasini yeching, bunda ± musbat.

$$a=\frac{\sqrt{58}}{29}$$

a=\frac{0±\frac{2\sqrt{58}}{29}}{2} tenglamasini yeching, bunda ± manfiy.

$$a=-\frac{\sqrt{58}}{29}$$

Tenglama yechildi.

$$a=\frac{\sqrt{58}}{29} a=-\frac{\sqrt{58}}{29}$$