26y^2=48 eching

$$26 y ^ { 2 } = 48$$

y uchun yechish

$$y = \frac{2 \sqrt{78}}{13} \approx 1,358732441$$

$$y = -\frac{2 \sqrt{78}}{13} \approx -1,358732441$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 26 ga bo‘ling.

$$y^{2}=\frac{48}{26}$$

\frac{48}{26} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$y^{2}=\frac{24}{13}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$y=\frac{2\sqrt{78}}{13} y=-\frac{2\sqrt{78}}{13}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 26 ga bo‘ling.

$$y^{2}=\frac{48}{26}$$

\frac{48}{26} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$y^{2}=\frac{24}{13}$$

Ikkala tarafdan \frac{24}{13} ni ayirish.

$$y^{2}-\frac{24}{13}=0$$

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{24}{13} ni c bilan almashtiring.

$$y=\frac{0±\sqrt{0^{2}-4\left(-\frac{24}{13}\right)}}{2}$$

0 kvadratini chiqarish.

$$y=\frac{0±\sqrt{-4\left(-\frac{24}{13}\right)}}{2}$$

-4 ni -\frac{24}{13} marotabaga ko'paytirish.

$$y=\frac{0±\sqrt{\frac{96}{13}}}{2}$$

\frac{96}{13} ning kvadrat ildizini chiqarish.

$$y=\frac{0±\frac{4\sqrt{78}}{13}}{2}$$

y=\frac{0±\frac{4\sqrt{78}}{13}}{2} tenglamasini yeching, bunda ± musbat.

$$y=\frac{2\sqrt{78}}{13}$$

y=\frac{0±\frac{4\sqrt{78}}{13}}{2} tenglamasini yeching, bunda ± manfiy.

$$y=-\frac{2\sqrt{78}}{13}$$

Tenglama yechildi.

$$y=\frac{2\sqrt{78}}{13} y=-\frac{2\sqrt{78}}{13}$$