x^2=84^2+58^2 eching

$$x ^ { 2 } = 84 ^ { 2 } + 58 ^ { 2 }$$

x uchun yechish

$$x=2\sqrt{2605}\approx 102,078401241$$

$$x=-2\sqrt{2605}\approx -102,078401241$$

Kvadrat ildizini topish bo'yicha qadamlar

2 daraja ko‘rsatkichini 84 ga hisoblang va 7056 ni qiymatni oling.

$$x^{2}=7056+58^{2}$$

2 daraja ko‘rsatkichini 58 ga hisoblang va 3364 ni qiymatni oling.

$$x^{2}=7056+3364$$

10420 olish uchun 7056 va 3364'ni qo'shing.

$$x^{2}=10420$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=2\sqrt{2605} x=-2\sqrt{2605}$$

Kvadrat tenglamalaridan foydalanish qoidalari

2 daraja ko‘rsatkichini 84 ga hisoblang va 7056 ni qiymatni oling.

$$x^{2}=7056+58^{2}$$

2 daraja ko‘rsatkichini 58 ga hisoblang va 3364 ni qiymatni oling.

$$x^{2}=7056+3364$$

10420 olish uchun 7056 va 3364'ni qo'shing.

$$x^{2}=10420$$

Ikkala tarafdan 10420 ni ayirish.

$$x^{2}-10420=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1 ni a, 0 ni b va -10420 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-10420\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-10420\right)}}{2}$$

-4 ni -10420 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{41680}}{2}$$

41680 ning kvadrat ildizini chiqarish.

$$x=\frac{0±4\sqrt{2605}}{2}$$

x=\frac{0±4\sqrt{2605}}{2} tenglamasini yeching, bunda ± musbat.

$$x=2\sqrt{2605}$$

x=\frac{0±4\sqrt{2605}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-2\sqrt{2605}$$

Tenglama yechildi.

$$x=2\sqrt{2605} x=-2\sqrt{2605}$$