6371634^2=6371^2+x^2 eching

$${ 6371634 }^{ 2 } = { 6371 }^{ 2 } + { x }^{ 2 }$$

x uchun yechish

$$x=\sqrt{40597679240315}\approx 6371630,814816172$$

$$x=-\sqrt{40597679240315}\approx -6371630,814816172$$

Kvadrat ildizini topish bo'yicha qadamlar

2 daraja ko‘rsatkichini 6371634 ga hisoblang va 40597719829956 ni qiymatni oling.

$$40597719829956=6371^{2}+x^{2}$$

2 daraja ko‘rsatkichini 6371 ga hisoblang va 40589641 ni qiymatni oling.

$$40597719829956=40589641+x^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$40589641+x^{2}=40597719829956$$

Ikkala tarafdan 40589641 ni ayirish.

$$x^{2}=40597719829956-40589641$$

40597679240315 olish uchun 40597719829956 dan 40589641 ni ayirish.

$$x^{2}=40597679240315$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\sqrt{40597679240315} x=-\sqrt{40597679240315}$$

Kvadrat tenglamalaridan foydalanish qoidalari

2 daraja ko‘rsatkichini 6371634 ga hisoblang va 40597719829956 ni qiymatni oling.

$$40597719829956=6371^{2}+x^{2}$$

2 daraja ko‘rsatkichini 6371 ga hisoblang va 40589641 ni qiymatni oling.

$$40597719829956=40589641+x^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$40589641+x^{2}=40597719829956$$

Ikkala tarafdan 40597719829956 ni ayirish.

$$40589641+x^{2}-40597719829956=0$$

-40597679240315 olish uchun 40589641 dan 40597719829956 ni ayirish.

$$-40597679240315+x^{2}=0$$

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.

$$x^{2}-40597679240315=0$$

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 -40597679240315 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-40597679240315\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-40597679240315\right)}}{2}$$

-4 ni -40597679240315 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{162390716961260}}{2}$$

162390716961260 ning kvadrat ildizini chiqarish.

$$x=\frac{0±2\sqrt{40597679240315}}{2}$$

x=\frac{0±2\sqrt{40597679240315}}{2} tenglamasini yeching, bunda ± musbat.

$$x=\sqrt{40597679240315}$$

x=\frac{0±2\sqrt{40597679240315}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-\sqrt{40597679240315}$$

Tenglama yechildi.

$$x=\sqrt{40597679240315} x=-\sqrt{40597679240315}$$