144^2-26^2=b^2 eching

$$144 ^ { 2 } - 26 ^ { 2 } = b ^ { 2 }$$

b uchun yechish

$$b=2\sqrt{5015}\approx 141,633329411$$

$$b=-2\sqrt{5015}\approx -141,633329411$$

Kvadrat ildizini topish bo'yicha qadamlar

2 daraja ko‘rsatkichini 144 ga hisoblang va 20736 ni qiymatni oling.

$$20736-26^{2}=b^{2}$$

2 daraja ko‘rsatkichini 26 ga hisoblang va 676 ni qiymatni oling.

$$20736-676=b^{2}$$

20060 olish uchun 20736 dan 676 ni ayirish.

$$20060=b^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$b^{2}=20060$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$b=2\sqrt{5015} b=-2\sqrt{5015}$$

Kvadrat tenglamalaridan foydalanish qoidalari

2 daraja ko‘rsatkichini 144 ga hisoblang va 20736 ni qiymatni oling.

$$20736-26^{2}=b^{2}$$

2 daraja ko‘rsatkichini 26 ga hisoblang va 676 ni qiymatni oling.

$$20736-676=b^{2}$$

20060 olish uchun 20736 dan 676 ni ayirish.

$$20060=b^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$b^{2}=20060$$

Ikkala tarafdan 20060 ni ayirish.

$$b^{2}-20060=0$$

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 -20060 ni c bilan almashtiring.

$$b=\frac{0±\sqrt{0^{2}-4\left(-20060\right)}}{2}$$

0 kvadratini chiqarish.

$$b=\frac{0±\sqrt{-4\left(-20060\right)}}{2}$$

-4 ni -20060 marotabaga ko'paytirish.

$$b=\frac{0±\sqrt{80240}}{2}$$

80240 ning kvadrat ildizini chiqarish.

$$b=\frac{0±4\sqrt{5015}}{2}$$

b=\frac{0±4\sqrt{5015}}{2} tenglamasini yeching, bunda ± musbat.

$$b=2\sqrt{5015}$$

b=\frac{0±4\sqrt{5015}}{2} tenglamasini yeching, bunda ± manfiy.

$$b=-2\sqrt{5015}$$

Tenglama yechildi.

$$b=2\sqrt{5015} b=-2\sqrt{5015}$$