h^2-120=3601 eching

$$h ^ { 2 } - 120 = 3601$$

h uchun yechish

$$h=61$$

$$h=-61$$

Kvadratlar farqidan foydalangan qadamlar

Ikkala tarafdan 3601 ni ayirish.

$$h^{2}-120-3601=0$$

-3721 olish uchun -120 dan 3601 ni ayirish.

$$h^{2}-3721=0$$

Hisoblang: h^{2}-3721. h^{2}-3721 ni h^{2}-61^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(h-61\right)\left(h+61\right)=0$$

Tenglamani yechish uchun h-61=0 va h+61=0 ni yeching.

$$h=61 h=-61$$

Kvadrat ildizini topish bo'yicha qadamlar

120 ni ikki tarafga qo’shing.

$$h^{2}=3601+120$$

3721 olish uchun 3601 va 120'ni qo'shing.

$$h^{2}=3721$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$h=61 h=-61$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 3601 ni ayirish.

$$h^{2}-120-3601=0$$

-3721 olish uchun -120 dan 3601 ni ayirish.

$$h^{2}-3721=0$$

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 -3721 ni c bilan almashtiring.

$$h=\frac{0±\sqrt{0^{2}-4\left(-3721\right)}}{2}$$

0 kvadratini chiqarish.

$$h=\frac{0±\sqrt{-4\left(-3721\right)}}{2}$$

-4 ni -3721 marotabaga ko'paytirish.

$$h=\frac{0±\sqrt{14884}}{2}$$

14884 ning kvadrat ildizini chiqarish.

$$h=\frac{0±122}{2}$$

h=\frac{0±122}{2} tenglamasini yeching, bunda ± musbat. 122 ni 2 ga bo'lish.

$$h=61$$

h=\frac{0±122}{2} tenglamasini yeching, bunda ± manfiy. -122 ni 2 ga bo'lish.

$$h=-61$$

Tenglama yechildi.

$$h=61 h=-61$$