A^2*6=87 eching

$$A ^ { 2 } \times 6 = 87$$

A uchun yechish

$$A = \frac{\sqrt{58}}{2} \approx 3,807886553$$

$$A = -\frac{\sqrt{58}}{2} \approx -3,807886553$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 6 ga bo‘ling.

$$A^{2}=\frac{87}{6}$$

\frac{87}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$A=\frac{\sqrt{58}}{2} A=-\frac{\sqrt{58}}{2}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 6 ga bo‘ling.

$$A^{2}=\frac{87}{6}$$

\frac{87}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

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

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

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{29}{2} ni c bilan almashtiring.

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

0 kvadratini chiqarish.

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

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

$$A=\frac{0±\sqrt{58}}{2}$$

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

$$A=\frac{\sqrt{58}}{2}$$

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

$$A=-\frac{\sqrt{58}}{2}$$

Tenglama yechildi.

$$A=\frac{\sqrt{58}}{2} A=-\frac{\sqrt{58}}{2}$$