(16^2+9^2)*x^2=133^2 eching

$$( { 16 }^{ 2 } + { 9 }^{ 2 } ) \times { x }^{ 2 } = { 133 }^{ 2 }$$

x uchun yechish

$$x = \frac{133 \sqrt{337}}{337} \approx 7,244971652$$

$$x = -\frac{133 \sqrt{337}}{337} \approx -7,244971652$$

Kvadrat ildizini topish bo'yicha qadamlar

2 daraja ko‘rsatkichini 16 ga hisoblang va 256 ni qiymatni oling.

$$\left(256+9^{2}\right)x^{2}=133^{2}$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$\left(256+81\right)x^{2}=133^{2}$$

337 olish uchun 256 va 81'ni qo'shing.

$$337x^{2}=133^{2}$$

2 daraja ko‘rsatkichini 133 ga hisoblang va 17689 ni qiymatni oling.

$$337x^{2}=17689$$

Ikki tarafini 337 ga bo‘ling.

$$x^{2}=\frac{17689}{337}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{133\sqrt{337}}{337} x=-\frac{133\sqrt{337}}{337}$$

Kvadrat tenglamalaridan foydalanish qoidalari

2 daraja ko‘rsatkichini 16 ga hisoblang va 256 ni qiymatni oling.

$$\left(256+9^{2}\right)x^{2}=133^{2}$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$\left(256+81\right)x^{2}=133^{2}$$

337 olish uchun 256 va 81'ni qo'shing.

$$337x^{2}=133^{2}$$

2 daraja ko‘rsatkichini 133 ga hisoblang va 17689 ni qiymatni oling.

$$337x^{2}=17689$$

Ikkala tarafdan 17689 ni ayirish.

$$337x^{2}-17689=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 337 ni a, 0 ni b va -17689 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 337\left(-17689\right)}}{2\times 337}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 337\left(-17689\right)}}{2\times 337}$$

-4 ni 337 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-1348\left(-17689\right)}}{2\times 337}$$

-1348 ni -17689 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{23844772}}{2\times 337}$$

23844772 ning kvadrat ildizini chiqarish.

$$x=\frac{0±266\sqrt{337}}{2\times 337}$$

2 ni 337 marotabaga ko'paytirish.

$$x=\frac{0±266\sqrt{337}}{674}$$

x=\frac{0±266\sqrt{337}}{674} tenglamasini yeching, bunda ± musbat.

$$x=\frac{133\sqrt{337}}{337}$$

x=\frac{0±266\sqrt{337}}{674} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{133\sqrt{337}}{337}$$

Tenglama yechildi.

$$x=\frac{133\sqrt{337}}{337} x=-\frac{133\sqrt{337}}{337}$$