(2a-1)=a+7/a+1 eching

$$( 2 a - 1 ) = \frac { a + 7 } { a + 1 }$$

a uchun yechish

$$a=-2$$

$$a=2$$

Kvadrat ildizini topish bo'yicha qadamlar

a qiymati -1 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini a+1 ga ko'paytirish.

$$2a\left(a+1\right)+\left(a+1\right)\left(-1\right)=a+7$$

2a ga a+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2a^{2}+2a+\left(a+1\right)\left(-1\right)=a+7$$

a+1 ga -1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2a^{2}+2a-a-1=a+7$$

a ni olish uchun 2a va -a ni birlashtirish.

$$2a^{2}+a-1=a+7$$

Ikkala tarafdan a ni ayirish.

$$2a^{2}+a-1-a=7$$

0 ni olish uchun a va -a ni birlashtirish.

$$2a^{2}-1=7$$

1 ni ikki tarafga qo’shing.

$$2a^{2}=7+1$$

8 olish uchun 7 va 1'ni qo'shing.

$$2a^{2}=8$$

Ikki tarafini 2 ga bo‘ling.

$$a^{2}=\frac{8}{2}$$

4 ni olish uchun 8 ni 2 ga bo‘ling.

$$a^{2}=4$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$a=2 a=-2$$

Kvadrat tenglamalaridan foydalanish qoidalari

a qiymati -1 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini a+1 ga ko'paytirish.

$$2a\left(a+1\right)+\left(a+1\right)\left(-1\right)=a+7$$

2a ga a+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2a^{2}+2a+\left(a+1\right)\left(-1\right)=a+7$$

a+1 ga -1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2a^{2}+2a-a-1=a+7$$

a ni olish uchun 2a va -a ni birlashtirish.

$$2a^{2}+a-1=a+7$$

Ikkala tarafdan a ni ayirish.

$$2a^{2}+a-1-a=7$$

0 ni olish uchun a va -a ni birlashtirish.

$$2a^{2}-1=7$$

Ikkala tarafdan 7 ni ayirish.

$$2a^{2}-1-7=0$$

-8 olish uchun -1 dan 7 ni ayirish.

$$2a^{2}-8=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 2 ni a, 0 ni b va -8 ni c bilan almashtiring.

$$a=\frac{0±\sqrt{0^{2}-4\times 2\left(-8\right)}}{2\times 2}$$

0 kvadratini chiqarish.

$$a=\frac{0±\sqrt{-4\times 2\left(-8\right)}}{2\times 2}$$

-4 ni 2 marotabaga ko'paytirish.

$$a=\frac{0±\sqrt{-8\left(-8\right)}}{2\times 2}$$

-8 ni -8 marotabaga ko'paytirish.

$$a=\frac{0±\sqrt{64}}{2\times 2}$$

64 ning kvadrat ildizini chiqarish.

$$a=\frac{0±8}{2\times 2}$$

2 ni 2 marotabaga ko'paytirish.

$$a=\frac{0±8}{4}$$

a=\frac{0±8}{4} tenglamasini yeching, bunda ± musbat. 8 ni 4 ga bo'lish.

$$a=2$$

a=\frac{0±8}{4} tenglamasini yeching, bunda ± manfiy. -8 ni 4 ga bo'lish.

$$a=-2$$

Tenglama yechildi.

$$a=2 a=-2$$