7*8/x+8*7x=x eching

$$7 \times \frac{ 8 }{ x } +8 \cdot 7x = x$$

x uchun yechish (complex solution)

$$x=-\frac{2\sqrt{770}i}{55}\approx -0-1,009049958i$$

$$x=\frac{2\sqrt{770}i}{55}\approx 1,009049958i$$

Kvadrat ildizini topish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x ga ko'paytirish.

$$7\times 8+8\times 7xx=xx$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$7\times 8+8\times 7x^{2}=xx$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$7\times 8+8\times 7x^{2}=x^{2}$$

56 hosil qilish uchun 7 va 8 ni ko'paytirish. 56 hosil qilish uchun 8 va 7 ni ko'paytirish.

$$56+56x^{2}=x^{2}$$

Ikkala tarafdan x^{2} ni ayirish.

$$56+56x^{2}-x^{2}=0$$

55x^{2} ni olish uchun 56x^{2} va -x^{2} ni birlashtirish.

$$56+55x^{2}=0$$

Ikkala tarafdan 56 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$55x^{2}=-56$$

Ikki tarafini 55 ga bo‘ling.

$$x^{2}=-\frac{56}{55}$$

Tenglama yechildi.

$$x=\frac{2\sqrt{770}i}{55} x=-\frac{2\sqrt{770}i}{55}$$

Kvadrat tenglamalaridan foydalanish qoidalari

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x ga ko'paytirish.

$$7\times 8+8\times 7xx=xx$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$7\times 8+8\times 7x^{2}=xx$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$7\times 8+8\times 7x^{2}=x^{2}$$

56 hosil qilish uchun 7 va 8 ni ko'paytirish. 56 hosil qilish uchun 8 va 7 ni ko'paytirish.

$$56+56x^{2}=x^{2}$$

Ikkala tarafdan x^{2} ni ayirish.

$$56+56x^{2}-x^{2}=0$$

55x^{2} ni olish uchun 56x^{2} va -x^{2} ni birlashtirish.

$$56+55x^{2}=0$$

Bu kabi kvadrat tenglamalarni x^{2} sharti bilan, biroq x shartisiz hamon kvadrat tenglamasidan foydalanib yechish mumkin, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ular standart formulaga solingandan so'ng: ax^{2}+bx+c=0.

$$55x^{2}+56=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 55 ni a, 0 ni b va 56 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 55\times 56}}{2\times 55}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 55\times 56}}{2\times 55}$$

-4 ni 55 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-220\times 56}}{2\times 55}$$

-220 ni 56 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-12320}}{2\times 55}$$

-12320 ning kvadrat ildizini chiqarish.

$$x=\frac{0±4\sqrt{770}i}{2\times 55}$$

2 ni 55 marotabaga ko'paytirish.

$$x=\frac{0±4\sqrt{770}i}{110}$$

x=\frac{0±4\sqrt{770}i}{110} tenglamasini yeching, bunda ± musbat.

$$x=\frac{2\sqrt{770}i}{55}$$

x=\frac{0±4\sqrt{770}i}{110} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{2\sqrt{770}i}{55}$$

Tenglama yechildi.

$$x=\frac{2\sqrt{770}i}{55} x=-\frac{2\sqrt{770}i}{55}$$