98b^2=2 eching

$$98 b ^ { 2 } = 2$$

b uchun yechish

$$b=\frac{1}{7}\approx 0,142857143$$

$$b=-\frac{1}{7}\approx -0,142857143$$

Kvadratlar farqidan foydalangan qadamlar

Ikki tarafini 98 ga bo‘ling.

$$b^{2}=\frac{2}{98}$$

\frac{2}{98} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$b^{2}=\frac{1}{49}$$

Ikkala tarafdan \frac{1}{49} ni ayirish.

$$b^{2}-\frac{1}{49}=0$$

Ikkala tarafini 49 ga ko‘paytiring.

$$49b^{2}-1=0$$

Hisoblang: 49b^{2}-1. 49b^{2}-1 ni \left(7b\right)^{2}-1^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(7b-1\right)\left(7b+1\right)=0$$

Tenglamani yechish uchun 7b-1=0 va 7b+1=0 ni yeching.

$$b=\frac{1}{7} b=-\frac{1}{7}$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 98 ga bo‘ling.

$$b^{2}=\frac{2}{98}$$

\frac{2}{98} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$b^{2}=\frac{1}{49}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$b=\frac{1}{7} b=-\frac{1}{7}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 98 ga bo‘ling.

$$b^{2}=\frac{2}{98}$$

\frac{2}{98} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$b^{2}=\frac{1}{49}$$

Ikkala tarafdan \frac{1}{49} ni ayirish.

$$b^{2}-\frac{1}{49}=0$$

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{1}{49} ni c bilan almashtiring.

$$b=\frac{0±\sqrt{0^{2}-4\left(-\frac{1}{49}\right)}}{2}$$

0 kvadratini chiqarish.

$$b=\frac{0±\sqrt{-4\left(-\frac{1}{49}\right)}}{2}$$

-4 ni -\frac{1}{49} marotabaga ko'paytirish.

$$b=\frac{0±\sqrt{\frac{4}{49}}}{2}$$

\frac{4}{49} ning kvadrat ildizini chiqarish.

$$b=\frac{0±\frac{2}{7}}{2}$$

b=\frac{0±\frac{2}{7}}{2} tenglamasini yeching, bunda ± musbat.

$$b=\frac{1}{7}$$

b=\frac{0±\frac{2}{7}}{2} tenglamasini yeching, bunda ± manfiy.

$$b=-\frac{1}{7}$$

Tenglama yechildi.

$$b=\frac{1}{7} b=-\frac{1}{7}$$