28x=-672/x eching

$$28x= \frac{ -672 }{ x }$$

x uchun yechish (complex solution)

$$x=-2\sqrt{6}i\approx -0-4,898979486i$$

$$x=2\sqrt{6}i\approx 4,898979486i$$

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.

$$28xx=-672$$

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

$$28x^{2}=-672$$

Ikki tarafini 28 ga bo‘ling.

$$x^{2}=\frac{-672}{28}$$

-24 ni olish uchun -672 ni 28 ga bo‘ling.

$$x^{2}=-24$$

Tenglama yechildi.

$$x=2\sqrt{6}i x=-2\sqrt{6}i$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$28xx=-672$$

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

$$28x^{2}=-672$$

672 ni ikki tarafga qo’shing.

$$28x^{2}+672=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 28 ni a, 0 ni b va 672 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 28\times 672}}{2\times 28}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 28\times 672}}{2\times 28}$$

-4 ni 28 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-112\times 672}}{2\times 28}$$

-112 ni 672 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-75264}}{2\times 28}$$

-75264 ning kvadrat ildizini chiqarish.

$$x=\frac{0±112\sqrt{6}i}{2\times 28}$$

2 ni 28 marotabaga ko'paytirish.

$$x=\frac{0±112\sqrt{6}i}{56}$$

x=\frac{0±112\sqrt{6}i}{56} tenglamasini yeching, bunda ± musbat.

$$x=2\sqrt{6}i$$

x=\frac{0±112\sqrt{6}i}{56} tenglamasini yeching, bunda ± manfiy.

$$x=-2\sqrt{6}i$$

Tenglama yechildi.

$$x=2\sqrt{6}i x=-2\sqrt{6}i$$