x*4x=16 eching

$$x \times 4x=16$$

x uchun yechish

$$x=2$$

$$x=-2$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$x^{2}\times 4=16$$

Ikki tarafini 4 ga bo‘ling.

$$x^{2}=\frac{16}{4}$$

4 ni olish uchun 16 ni 4 ga bo‘ling.

$$x^{2}=4$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=2 x=-2$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$x^{2}\times 4=16$$

Ikkala tarafdan 16 ni ayirish.

$$x^{2}\times 4-16=0$$

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.

$$4x^{2}-16=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 4 ni a, 0 ni b va -16 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 4\left(-16\right)}}{2\times 4}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 4\left(-16\right)}}{2\times 4}$$

-4 ni 4 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-16\left(-16\right)}}{2\times 4}$$

-16 ni -16 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{256}}{2\times 4}$$

256 ning kvadrat ildizini chiqarish.

$$x=\frac{0±16}{2\times 4}$$

2 ni 4 marotabaga ko'paytirish.

$$x=\frac{0±16}{8}$$

x=\frac{0±16}{8} tenglamasini yeching, bunda ± musbat. 16 ni 8 ga bo'lish.

$$x=2$$

x=\frac{0±16}{8} tenglamasini yeching, bunda ± manfiy. -16 ni 8 ga bo'lish.

$$x=-2$$

Tenglama yechildi.

$$x=2 x=-2$$