4x*x=100 eching

$$4x \times x=100$$

x uchun yechish

$$x=5$$

$$x=-5$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$4x^{2}=100$$

Ikki tarafini 4 ga bo‘ling.

$$x^{2}=\frac{100}{4}$$

25 ni olish uchun 100 ni 4 ga bo‘ling.

$$x^{2}=25$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=5 x=-5$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$4x^{2}=100$$

Ikkala tarafdan 100 ni ayirish.

$$4x^{2}-100=0$$

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 -100 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 4\left(-100\right)}}{2\times 4}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 4\left(-100\right)}}{2\times 4}$$

-4 ni 4 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-16\left(-100\right)}}{2\times 4}$$

-16 ni -100 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{1600}}{2\times 4}$$

1600 ning kvadrat ildizini chiqarish.

$$x=\frac{0±40}{2\times 4}$$

2 ni 4 marotabaga ko'paytirish.

$$x=\frac{0±40}{8}$$

x=\frac{0±40}{8} tenglamasini yeching, bunda ± musbat. 40 ni 8 ga bo'lish.

$$x=5$$

x=\frac{0±40}{8} tenglamasini yeching, bunda ± manfiy. -40 ni 8 ga bo'lish.

$$x=-5$$

Tenglama yechildi.

$$x=5 x=-5$$