59y^2=18 eching

$$59 y ^ { 2 } = 18$$

y uchun yechish

$$y=\frac{3\sqrt{118}}{59}\approx 0,552344771$$

$$y=-\frac{3\sqrt{118}}{59}\approx -0,552344771$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 59 ga bo‘ling.

$$y^{2}=\frac{18}{59}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$y=\frac{3\sqrt{118}}{59} y=-\frac{3\sqrt{118}}{59}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 59 ga bo‘ling.

$$y^{2}=\frac{18}{59}$$

Ikkala tarafdan \frac{18}{59} ni ayirish.

$$y^{2}-\frac{18}{59}=0$$

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{18}{59} ni c bilan almashtiring.

$$y=\frac{0±\sqrt{0^{2}-4\left(-\frac{18}{59}\right)}}{2}$$

0 kvadratini chiqarish.

$$y=\frac{0±\sqrt{-4\left(-\frac{18}{59}\right)}}{2}$$

-4 ni -\frac{18}{59} marotabaga ko'paytirish.

$$y=\frac{0±\sqrt{\frac{72}{59}}}{2}$$

\frac{72}{59} ning kvadrat ildizini chiqarish.

$$y=\frac{0±\frac{6\sqrt{118}}{59}}{2}$$

y=\frac{0±\frac{6\sqrt{118}}{59}}{2} tenglamasini yeching, bunda ± musbat.

$$y=\frac{3\sqrt{118}}{59}$$

y=\frac{0±\frac{6\sqrt{118}}{59}}{2} tenglamasini yeching, bunda ± manfiy.

$$y=-\frac{3\sqrt{118}}{59}$$

Tenglama yechildi.

$$y=\frac{3\sqrt{118}}{59} y=-\frac{3\sqrt{118}}{59}$$