x*2x=20 eching

$$x \times 2x=20$$

x uchun yechish

$$x=\sqrt{10}\approx 3,16227766$$

$$x=-\sqrt{10}\approx -3,16227766$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$x^{2}\times 2=20$$

Ikki tarafini 2 ga bo‘ling.

$$x^{2}=\frac{20}{2}$$

10 ni olish uchun 20 ni 2 ga bo‘ling.

$$x^{2}=10$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\sqrt{10} x=-\sqrt{10}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$x^{2}\times 2=20$$

Ikkala tarafdan 20 ni ayirish.

$$x^{2}\times 2-20=0$$

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.

$$2x^{2}-20=0$$

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 -20 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-20\right)}}{2\times 2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 2\left(-20\right)}}{2\times 2}$$

-4 ni 2 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-8\left(-20\right)}}{2\times 2}$$

-8 ni -20 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{160}}{2\times 2}$$

160 ning kvadrat ildizini chiqarish.

$$x=\frac{0±4\sqrt{10}}{2\times 2}$$

2 ni 2 marotabaga ko'paytirish.

$$x=\frac{0±4\sqrt{10}}{4}$$

x=\frac{0±4\sqrt{10}}{4} tenglamasini yeching, bunda ± musbat.

$$x=\sqrt{10}$$

x=\frac{0±4\sqrt{10}}{4} tenglamasini yeching, bunda ± manfiy.

$$x=-\sqrt{10}$$

Tenglama yechildi.

$$x=\sqrt{10} x=-\sqrt{10}$$