x^2=25+625-x^2 eching

$${ x }^{ 2 } =25+625- { x }^{ 2 }$$

x uchun yechish

$$x=5\sqrt{13}\approx 18,027756377$$

$$x=-5\sqrt{13}\approx -18,027756377$$

Kvadrat ildizini topish bo'yicha qadamlar

650 olish uchun 25 va 625'ni qo'shing.

$$x^{2}=650-x^{2}$$

x^{2} ni ikki tarafga qo’shing.

$$x^{2}+x^{2}=650$$

2x^{2} ni olish uchun x^{2} va x^{2} ni birlashtirish.

$$2x^{2}=650$$

Ikki tarafini 2 ga bo‘ling.

$$x^{2}=\frac{650}{2}$$

325 ni olish uchun 650 ni 2 ga bo‘ling.

$$x^{2}=325$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=5\sqrt{13} x=-5\sqrt{13}$$

Kvadrat tenglamalaridan foydalanish qoidalari

650 olish uchun 25 va 625'ni qo'shing.

$$x^{2}=650-x^{2}$$

Ikkala tarafdan 650 ni ayirish.

$$x^{2}-650=-x^{2}$$

x^{2} ni ikki tarafga qo’shing.

$$x^{2}-650+x^{2}=0$$

2x^{2} ni olish uchun x^{2} va x^{2} ni birlashtirish.

$$2x^{2}-650=0$$

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 -650 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-650\right)}}{2\times 2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 2\left(-650\right)}}{2\times 2}$$

-4 ni 2 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-8\left(-650\right)}}{2\times 2}$$

-8 ni -650 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{5200}}{2\times 2}$$

5200 ning kvadrat ildizini chiqarish.

$$x=\frac{0±20\sqrt{13}}{2\times 2}$$

2 ni 2 marotabaga ko'paytirish.

$$x=\frac{0±20\sqrt{13}}{4}$$

x=\frac{0±20\sqrt{13}}{4} tenglamasini yeching, bunda ± musbat.

$$x=5\sqrt{13}$$

x=\frac{0±20\sqrt{13}}{4} tenglamasini yeching, bunda ± manfiy.

$$x=-5\sqrt{13}$$

Tenglama yechildi.

$$x=5\sqrt{13} x=-5\sqrt{13}$$